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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ForwardSalesAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Forward sales agreement.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityIncorporationStateCountryCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Incorporation, State or Country Code</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate at Three Point Eight Six Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at three point eight six percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 3.86% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loan, Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Stated Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateStatedPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityShellCompany_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Shell Company</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivablesByLegalEntityOfCounterpartyTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Legal Entity of Counterparty, Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesLoansAndFinancingReceivablesByLegalEntityOfCounterpartyTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Entity of Counterparty, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DCCapitolPlazaDHSBurlingtonAndYorkSpaceSystemsGreenwoodVillageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">DC Capitol Plaza DHS Burlington And York Space Systems Greenwood Village [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DCCapitolPlazaDHSBurlingtonAndYorkSpaceSystemsGreenwoodVillageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">DC Capitol Plaza DHS Burlington And York Space Systems Greenwood Village.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DCCapitolPlazaDHSBurlingtonAndYorkSpaceSystemsGreenwoodVillageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">DC Capitol Plaza, DHS Burlington and York Space Systems Greenwood Village [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash and Cash Equivalents, at Carrying Value, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash and cash equivalents</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash and Cash Equivalent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfUnearnedRevenue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Amortization of unearned revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfUnearnedRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Unearned Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfUnearnedRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of unearned revenue.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrealizedGainLossOnInterestRateCashFlowHedgesPretaxAccumulatedOtherComprehensiveIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrealized Gain (Loss) on Interest Rate Cash Flow Hedges, Pretax, Accumulated Other Comprehensive Income (Loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnrealizedGainLossOnInterestRateCashFlowHedgesPretaxAccumulatedOtherComprehensiveIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized gain (loss) recognized in AOCI</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating Properties Acquired [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Properties Acquired [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating properties acquired.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsidiary, Sale of Stock [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O2025Q3 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O2025Q3 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q3DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Q3 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USGeneralServicesAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">U.S. General Services Administration [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USGeneralServicesAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">U.S. General Services Administration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USGeneralServicesAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. General Services Administration [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock, shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsMeasuredOnRecurringBasisUnobservableInputReconciliationByAssetClassDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Next Twelve Months</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income next twelve months.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2017 series B senior notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Seventeen Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand seventeen series B senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanAgreementMaximumLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction loan agreement maximum lending capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanAgreementMaximumLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction loan agreement maximum lending capacity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanAgreementMaximumLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loan Agreement Maximum Lending Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_COVID19PandemicMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">COVID-19 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_COVID19PandemicMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">C O V I D19 Pandemic [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_COVID19PandemicMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">COVID-19 andemic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EarningsPerShareBasicAndDilutedLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings Per Share Basic And Diluted [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EarningsPerShareBasicAndDilutedLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share Basic And Diluted [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EarningsPerShareBasicAndDilutedLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnings per share basic and diluted.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income year three.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionMaximumSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performance Condition Maximum Share Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionMaximumSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the maximum share price under performance based awards.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionMaximumSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Applicable price maximum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Acquisition, Acquiree</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAcquireeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnTreasuryLocksAndInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrealized Gain Loss On Treasury Locks And Interest Rate Swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnTreasuryLocksAndInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unrealized gain loss on treasury locks and interest rate swaps.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnTreasuryLocksAndInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized (loss) income on treasury locks and interest rate swaps, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnTreasuryLocksAndInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unrealized gain income on treasury locks and interest rate swaps, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFilerCategory_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Filer Category</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialRecognitionOfLiabilitiesRelatedToOperatingLeaseRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial recognition of liabilities related to operating lease right of use assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialRecognitionOfLiabilitiesRelatedToOperatingLeaseRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Recognition Of Liabilities Related To Operating Lease Right Of Use Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialRecognitionOfLiabilitiesRelatedToOperatingLeaseRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recognition of liabilities related to operating lease right-of-use assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WeightedAverageAmortizationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average amortization period.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WeightedAverageAmortizationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Amortization Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WeightedAverageAmortizationPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted average amortization period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities and equity</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Note Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ServiceBasedLongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Service based long term incentive plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ServiceBasedLongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Service Based Long Term Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ServiceBasedLongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Service-Based LTIP</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non rule 10b51 arr modified flag.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NonRule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Non-Rule 10b5-1 Arrangement Modified</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentBuildingAndBuildingImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Building and improvements</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByBalanceSheetGroupingTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, by Balance Sheet Grouping [Table Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsGainLossByHedgingRelationshipAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hedging Relationship [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpensesAndOtherCurrentAssetsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expenses and Other Current Assets [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsEffectOnOtherComprehensiveIncomeLossTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Derivative Instruments, Effect on Other Comprehensive Income (Loss) [Table Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DevelopmentPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Development Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DevelopmentPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Development Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DevelopmentPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Development properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Five Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025 Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2025 series B senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursableRentAndOfficeExpenseDueToRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursable rent and office expense due to related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursableRentAndOfficeExpenseDueToRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursable Rent And Office Expense Due To Related Party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursableRentAndOfficeExpenseDueToRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursable rent and office expense due to related party.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MedBaseVentureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">MedBase Venture [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MedBaseVentureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Med Base Venture [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MedBaseVentureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Med base venture.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContributionOfProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contribution of Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContributionOfProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additions to properties accrued, not paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographical</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_SegmentGeographicalDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ForwardSalesAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forward Sale Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ForwardSalesAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forward Sales Agreements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ForwardSalesAgreementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Forward sales agreements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfPropertyHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Sale, Property, Held-for-Sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromSaleOfPropertyHeldForSale_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from sale of operating property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional paid-in capital</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid in Capital, Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AssetManagementServiceRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset management service revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AssetManagementServiceRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Management Service Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AssetManagementServiceRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount recognized as asset management service revenue.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Issuance Costs, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Total unamortized deferred financing fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VabirminghamVamariettaAndVacolumbusMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VaBirmingham VaMarietta and VaColumbus.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VabirminghamVamariettaAndVacolumbusMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VA Birmingham, VA Marietta and VA Columbus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DebtInstrumentMaturityDateMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan, Current Maturity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DebtInstrumentMaturityDateMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument Maturity Date Month And Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DebtInstrumentMaturityDateMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument maturity date month and year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction loan maturity date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loan Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction loan maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes, interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate During Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Significant Accounting Policies</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SignificantAccountingPoliciesTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Significant Accounting Policies [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardTermsOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Terms of Award</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardTermsOfAward_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity incentive plan, terms of distribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration Risk [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ShareRepurchaseProgramAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Repurchase Program</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ShareRepurchaseProgramAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Repurchase Program [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnusualOrInfrequentItemDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unusual or Infrequent Item, or Both</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnusualOrInfrequentItemDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unusual or Infrequent Item, or Both [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ProceedsFromTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from term loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ProceedsFromTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Proceeds from term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ProceedsFromTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term loan proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Units Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Disaggregation Of Revenue [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CumulativeDividends_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Cumulative dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CumulativeDividends_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cumulative Dividends</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Basic and Diluted Earnings Per Common Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfEarningsPerShareBasicAndDilutedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Earnings Per Share, Basic and Diluted [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total notes payable, net, Principal Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes payable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotes_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentrations Risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization Of Treasury Lock Settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of treasury lock settlement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of treasury lock settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScheduleOfEquityMethodInvestmentEquityMethodInvesteeNameAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockCompensationPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock Compensation Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockCompensationPlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Basic EPS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Revenue from Tenant Construction Projects Disaggregated by Tenant Agency</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseNetInvestmentInLeaseAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales-type Lease, Net Investment in Lease, Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseNetInvestmentInLeaseAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Sales-type Lease, Net Investment in Lease, Allowance for Credit Loss, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseNetInvestmentInLeaseAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Sales-type Lease, Net Investment in Lease, Allowance for Credit Loss, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseNetInvestmentInLeaseAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Sales-type Lease, Net Investment in Lease, Allowance for Credit Loss, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseNetInvestmentInLeaseAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales-type leases, allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnitsSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contribution of property for common units, shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnitsSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contribution Of Property For Common Units Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnitsSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contribution of property for common units shares issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VABirminghamAndVAMariettaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA &#8211; Birmingham and VA &#8211; Marietta [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VABirminghamAndVAMariettaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">V A Birmingham And V A Marietta [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VABirminghamAndVAMariettaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA &#8211; Birmingham and VA &#8211; Marietta.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearThree_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RevolvingCreditFacilityTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Revolving credit facility two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RevolvingCreditFacilityTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Credit Facility Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RevolvingCreditFacilityTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssued1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Repayments of mortgage notes payable</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfSecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage note obligation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeExpenseNonoperatingNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest expense, net</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLeaseIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Lease, Lease Income, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLeaseIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rental income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLeaseIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Lease Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand twenty four series B senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Four Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ServiceBasedLTIPUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Service Based L T I P Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ServiceBasedLTIPUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Service Based LTIP Units[Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ServiceBasedLTIPUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Service based LTIP units.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Adjustments to reconcile net income to net cash provided by operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToReconcileNetIncomeLossToCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustment to Reconcile Net Income to Cash Provided by (Used in) Operating Activity [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Date of Record</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateOfRecordDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Record Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ShareRepurchaseProgramDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Repurchase Program</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ShareRepurchaseProgramDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Repurchase Program [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Information with Respect to ATM Program</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSaleOfStockBySubsidiaryOrEquityMethodInvesteeDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Sale of Stock by Subsidiary or Equity Method Investee Disclosure [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mezzanine Construction Loan Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mezzanine construction loan maturity date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mezzanine construction loan maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLossesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Vest Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Award Vesting Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share based compensation arrangement by share based payment award award vesting date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingDate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Vest date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounting Standards Update</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsForNewAccountingPronouncementsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntitySmallBusiness_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Small Business</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unrealized Gain Loss On Interest Rate Swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unrealized gain loss on interest rate swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnrealizedGainLossOnInterestRateSwaps_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized loss on interest rate swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForProceedsFromRealEstatePartnershipInvestmentNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Investments in real estate loans receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForProceedsFromRealEstatePartnershipInvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments for (Proceeds from) Real Estate Partnership Investment, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsForProceedsFromRealEstatePartnershipInvestmentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payments for (Proceeds from) Real Estate Partnership Investment, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketApproachValuationTechniqueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation, Market Approach [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MarketApproachValuationTechniqueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Market Approach [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Retained Earnings (Accumulated Deficit), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Retained earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Retained Earnings (Accumulated Deficit)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TheJudiciaryOfTheUnitedStatesGovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">The Judiciary of the U.S. Government ("JUD") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TheJudiciaryOfTheUnitedStatesGovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">The Judiciary Of The United States Government [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TheJudiciaryOfTheUnitedStatesGovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">The Judiciary of The United States Governmen.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedOperatingPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wholly Owned Operating Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedOperatingPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Wholly Owned Operating Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedOperatingPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Wholly owned operating properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaJacksonvilleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA Jacksonville.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaJacksonvilleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VA Jacksonville [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaJacksonvilleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA - Jacksonville</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds from issuance initial public offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance Initial Public Offering</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaBirminghamVaMariettaVaColumbusAndVaPhoenixMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA Birmingham, VA Marietta, VA Columbus and VA Phoenix.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaBirminghamVaMariettaVaColumbusAndVaPhoenixMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VA Birmingham, VA Marietta, VA Columbus and VA Phoenix [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaBirminghamVaMariettaVaColumbusAndVaPhoenixMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA Birmingham, VA Marietta, VA Columbus and VA Phoenix</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInceptionDates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forward swaps effective date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInceptionDates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Inception Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Incentive Plan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfCompensationRelatedCostsShareBasedPaymentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement [Text Block]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionPercentageEarnedAtThreshold_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the target performance based award earned at threshold share price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionPercentageEarnedAtThreshold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performance-based percentage earned, minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilitiesBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Intangible Liabilities Below Market Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilitiesBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business &#8203;combination &#8203;recognized&#8203; identifiable&#8203; assets&#8203; acquired&#8203; and&#8203; liabilities &#8203;assumed&#8203; intangible liabilities&#8203; below market leases.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilitiesBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Intangible Liabilities, Below market leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease Contractual Term</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Contract with Customer, Liability, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contract liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Lease, Description [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GeneralServicesAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">General Services Administration - Other [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GeneralServicesAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">General Services Administration [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GeneralServicesAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">General services administration.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_AmendmentFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amendment Flag</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Product and Service</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ProductsAndServicesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Product and Service [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementCostPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursement Cost Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementCostPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursement Cost Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementCostPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursement cost paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration Risk [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets held for sale</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Disposal Group, Including Discontinued Operation, Assets, Current, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsOfDisposalGroupIncludingDiscontinuedOperationCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disposal Group, Including Discontinued Operation, Assets, Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressPostalZipCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Postal Zip Code</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash provided by operating activities</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmProfitLossMeasureHowUsedDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Profit (Loss) Measure, How Used, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestCostsCapitalizedAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Capitalized interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestCostsCapitalizedAdjustment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Costs Capitalized Adjustment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock Par Value [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_HedgingRelationshipDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Hedging Relationship [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Three</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2029</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Fair Value of Our Interest Rate Derivatives as Well as Their Classification on Our Consolidated Balance Sheets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsInStatementOfFinancialPositionFairValueTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Derivative Instruments in Statement of Financial Position, Fair Value [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseUnguaranteedResidualAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales-type Lease, Unguaranteed Residual Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseUnguaranteedResidualAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">sales-type leases, residual asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of loan premium / discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfDebtDiscountPremium_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Discount (Premium)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series B senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate properties, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investment Property, Net [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateEffectivePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effective interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentInterestRateEffectivePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Interest Rate, Effective Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RestrictedCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Common Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RestrictedCommonStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Restricted common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends Payable [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByFairValueHierarchyLevelAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net income available to Easterly Government Properties, Inc. per share:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RentalIncomeNonoperating_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rental income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RentalIncomeNonoperating_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rental Income, Nonoperating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of cash flow information is as follows (amounts in thousands):</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SupplementalCashFlowInformationAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Supplemental Cash Flow Information [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BalanceSheetLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position Location, Balance [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Right-of-use asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Right-of-Use Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net Income (Loss) Attributable to Noncontrolling Interest, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Less: Non-controlling interest in Operating Partnership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Non-controlling interest in Operating Partnership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Less: Non-controlling interest in Operating Partnership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Non-controlling interest in Operating Partnership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VariableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VariableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VariableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Variable member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CapitalAdditionsMadeToPropertyDevelopmentPropertiesAfterAcquisition_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Additions to development properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CapitalAdditionsMadeToPropertyDevelopmentPropertiesAfterAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Additions Made To Property Development Properties After Acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CapitalAdditionsMadeToPropertyDevelopmentPropertiesAfterAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital additions made to property development properties after acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Land_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Land_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingAssetsAndLiabilitiesNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net change in:</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInOtherOperatingAssetsAndLiabilitiesNetAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Other Operating Assets and Liabilities, Net [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PropertiesUnderDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Properties Under Development [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PropertiesUnderDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Properties Under Development [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PropertiesUnderDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Properties under development.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentType_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfArrangementAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Real estate properties, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate properties, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investment Property, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ArrangementsAndNonarrangementTransactionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Collaborative Arrangement and Arrangement Other than Collaborative [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EnvironmentalProtectionAgencyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Environmental protection agency.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EnvironmentalProtectionAgencyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Environmental Protection Agency [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EnvironmentalProtectionAgencyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Environmental Protection Agency ("EPA") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCentralIndexKey_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Central Index Key</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Period Increase (Decrease), Including Exchange Rate Effect and Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net decrease in Cash and cash equivalents and Restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnvestedPerformanceBasedLongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unvested Performance-Based Long Term Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnvestedPerformanceBasedLongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unvested Performance Based Long Term Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnvestedPerformanceBasedLongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unvested performance-based long term incentive plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities Excluded from Computation of Earnings Per Share, Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive securities excluded from computation of earnings per share amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationPerformanceSharesAwardOutstandingActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Significant Assumptions Used to Value the Total Shareholder</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationPerformanceSharesAwardOutstandingActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Performance Shares, Outstanding Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NumberOfLandParcelAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of land parcel acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NumberOfLandParcelAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Number of land parcel acquired.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Future Minimum Rental Payments For Operating Leases [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Future Minimum Rental Payments For Operating Leases [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of future minimum rental payments for operating leases.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock, par value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockParOrStatedValuePerShare_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Par or Stated Value Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwapEffectiveJuneThirtyTwoThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate swap Effective June Thirty Two Thousand Twenty Five [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwapEffectiveJuneThirtyTwoThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest Rate swap Effective June Thirty Two Thousand Twenty Five.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwapEffectiveJuneThirtyTwoThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Swap Effective June 30, 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfAdoptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounting Standards Update</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TypeOfAdoptionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Four Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2024 Series A Senior Notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total Shareholder Return Performance Thresholds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LiabilitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FractionalSharesSettled_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fractional Shares Settled</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FractionalSharesSettled_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fractional shares settled.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FractionalSharesSettled_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Fractional shares settled</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceBasedLTIPUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Performance based LTIP units.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceBasedLTIPUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performance Based LTIP Units[Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceBasedLTIPUnitsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performance Based L T I P Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InvestmentsInSalesTypeLeaseAndRealEstateLoanReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investments In Sales Type Lease And Real Estate Loan Receivable Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InvestmentsInSalesTypeLeaseAndRealEstateLoanReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investments in sales type lease and real estate loan receivable net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InvestmentsInSalesTypeLeaseAndRealEstateLoanReceivableNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Investments in sales-type lease and real estate loans receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Changes In Stockholders' Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfStockholdersEquityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Stockholders Equity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 3.86% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate at Three Point Eight Six Percentage Fixed Rate One [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateOneMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at three point eight six percentage fixed rate one.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeniorNoteAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Five Senior Note Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeniorNoteAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand twenty five senior note agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeniorNoteAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025 Senior Note Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Key Terms and Fair Values of Our Interest Rate Swap Derivatives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDerivativeInstrumentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Derivative Instruments [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate notional value of interest rate swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Notional Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNotionalAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Treasury locks notional value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgagesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgages Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgagesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgages Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgagesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgages payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionThresholdSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performance Condition Threshold Share Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionThresholdSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Represents the minimum applicable share price that must be achieved for performance-based awards.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionThresholdSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Applicable threshold price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialRecognitionOfOperatingLeaseRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial recognition of operating lease right of use assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialRecognitionOfOperatingLeaseRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Recognition Of Operating Lease Right Of Use Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialRecognitionOfOperatingLeaseRightOfUseAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recognition of operating lease right-of-use assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grant of unvested restricted stock, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, Restricted Stock Award, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OwnershipDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OwnershipDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ownership [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CurrentFiscalYearEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Current Fiscal Year End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Long-Term Debt Instruments [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ParkingGarageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Parking Garage [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ParkingGarageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Parking Garage [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ParkingGarageMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Parking garage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Quarterly Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentQuarterlyReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Quarterly Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnamortizedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unamortized restricted stock expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnamortizedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unamortized Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnamortizedExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unamortized Expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedOtherNoncurrentAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Total other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OrganizationAndSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization And Significant Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OrganizationAndSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization And Significant Accounting Policies [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OrganizationAndSignificantAccountingPoliciesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Organization and significant accounting policies.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CA_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">California [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CA_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CALIFORNIA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_CA_lbl" xlink:role="http://www.xbrl.org/2003/role/label">CALIFORNIA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ReceivablesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Receivables [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, State or Province</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressStateOrProvince_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, State or Province</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PrincipalRepaymentOfSalesTypeLease_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Principal Repayment Of Sales Type Lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PrincipalRepaymentOfSalesTypeLease_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Principal repayment of sales type lease.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PrincipalRepaymentOfSalesTypeLease_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal repayment of sales-type lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unconsolidated Real Estate Venture [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unconsolidated Real Estate Venture [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unconsolidated real estate venture.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amount available under revolving credit facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityRemainingBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Remaining Borrowing Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementsAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursements Accounts Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementsAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursements accounts receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementsAccountsReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursements receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MeasurementInputAveragePricePerSquareFootOfComparableSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Measurement input average price per square foot of comparable sales.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MeasurementInputAveragePricePerSquareFootOfComparableSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Average Price Per Square Foot Of Comparable Sales [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MeasurementInputAveragePricePerSquareFootOfComparableSalesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Input Average Price Per Square Foot of Comparable Sales [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMonthlyInterestFixedRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mezzanine construction loan monthly interest fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMonthlyInterestFixedRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mezzanine construction loan monthly interest fixed rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMonthlyInterestFixedRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mezzanine Construction Loan Monthly Interest Fixed Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_EquityMethodInvesteeNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Comprehensive income (loss) attributable to Easterly Government Properties, Inc.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum number of shares of common stock reserved for issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Capital Shares Reserved for Future Issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate number of shares of common stock authorized for issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dilutive effect</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncrementalCommonSharesAttributableToShareBasedPaymentArrangements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Incremental Common Shares Attributable to Dilutive Effect of Share-Based Payment Arrangements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RisksAndUncertaintiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Risks and Uncertainties [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Geographical</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementGeographicalAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Geographical [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accrued Interest Receivable, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accrued interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccruedInterestReceivableNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Real estate loan interest receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USCitizenshipAndImmigrationServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">U.S. Citizenship and Immigration Services ("USCIS") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USCitizenshipAndImmigrationServicesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">U.S. Citizenship and Immigration Services.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DebtInstrumentSecuredAccordionFeatureAdditionalBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt instrument secured accordion feature additional borrowing capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DebtInstrumentSecuredAccordionFeatureAdditionalBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Debt instrument secured accordion feature additional borrowing capacity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesCSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2017 series C senior notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesCSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Seventeen Series C Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesCSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand seventeen series C senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Accrued Interest, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAccruedInterestAfterAllowanceForCreditLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accrued interest receivable, net of allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FederalBureauOfInvestigationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Federal Bureau of Investigation ("FBI") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FederalBureauOfInvestigationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Federal Bureau Of Investigation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FederalBureauOfInvestigationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Federal bureau of investigation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Instrument, Unamortized Discount (Premium), Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Total unamortized premium/discount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Unamortized Discount (Premium), Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Net of Tax [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPeriodIncreaseDecreaseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other comprehensive income (loss):</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesAndLandParcelAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating Properties and Land Parcel Acquired [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesAndLandParcelAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Properties and land parcel Acquired [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesAndLandParcelAcquiredMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating properties and land parcel acquired.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Subsequent Event</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareholdersEquityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shareholders Equity [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareholdersEquityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shareholders Equity [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareholdersEquityLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shareholders equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Additional Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfAdditionalSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Increased number of shares of common stock authorized for issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior unsecured notes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unsecured Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnsecuredDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Unsecured Debt, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareByAntidilutiveSecuritiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseSellingProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales-type Lease, Selling Profit (Loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseSellingProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Profit or loss recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income year two.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TenantReimbursementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tenant Reimbursements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TenantReimbursementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tenant Reimbursements [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TenantReimbursementsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Tenant reimbursements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated Other Comprehensive Income (Loss) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">AOCI Attributable to Parent [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_NameOfMajorCustomerDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_NameOfMajorCustomerDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 ATM Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen A T M Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2019 ATM program.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finite-Lived Intangible Assets, Major Class Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsMajorClassNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Major Class Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeMaturityScheduleAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired Below-Market Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeMaturityScheduleAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Maturity Schedule [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LimitedLiabilityCompanyLLCOrLimitedPartnershipLPManagingMemberOrGeneralPartnerOwnershipInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Outstanding common units of aggregate limited partnership interest owned percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LimitedLiabilityCompanyLLCOrLimitedPartnershipLPManagingMemberOrGeneralPartnerOwnershipInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Limited Liability Company (LLC) or Limited Partnership (LP), Managing Member or General Partner, Ownership Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeAssetsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest rate swaps - Asset</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeAssetsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Derivative Assets, at Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeAssetsAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest rate swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationConsiderationTransferred1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Consideration Transferred</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationConsiderationTransferred1_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Business Combination, Consideration Transferred, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationConsiderationTransferred1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Membership interests acquired amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StraightLineRent_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Straight line rent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StraightLineRent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Straight Line Rent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OffMarketLeaseUnfavorable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible liabilities, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OffMarketLeaseUnfavorable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Off-Market Lease, Unfavorable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investments in Unconsolidated Real Estate Venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Finite-Lived</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibles_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total intangible assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CommonUnitDividendRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating partnership dividend rate percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CommonUnitDividendRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Unit Dividend Rate Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CommonUnitDividendRatePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Common unit dividend rate percentage.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSixSevenPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate at Three Point Six Seven Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSixSevenPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at three point six seven percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSixSevenPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 3.67% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total Intangible assets, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleAssetsOtherThanGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Identifiable Intangible Asset, Excluding Goodwill</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ICE-OtayMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ICE - Otay [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ICE-OtayMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">ICE - Otay.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes, maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EarningsPerShareBasicAndDilutedTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings Per Share Basic And Diluted [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EarningsPerShareBasicAndDilutedTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share Basic And Diluted [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_EarningsPerShareBasicAndDilutedTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Earnings per share basic and diluted.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLossOnDerivative_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Loss on Derivative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeLossOnDerivative_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on derivatives</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Minimum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MinimumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Minimum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Instrument</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancialInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Investments in JV</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investments [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVenturesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unconsolidated Real Estate Ventures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVenturesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Investments in Unconsolidated Real Estate Ventures.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel3Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Inputs, Level 3 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmountIncurredOfLandParcelAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amount Incurred Of Land Parcel Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmountIncurredOfLandParcelAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amount Incurred Of Land Parcel Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmountIncurredOfLandParcelAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land parcel acquired amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossFromRealEstateInvestmentPartnershipAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net Income (Loss) from Real Estate Investment Partnership, Attributable to Parent, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossFromRealEstateInvestmentPartnershipAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Income from unconsolidated real estate venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossFromRealEstateInvestmentPartnershipAttributableToParent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) from Real Estate Investment Partnership, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Fair Value, Assets and Liabilities Measured on Recurring Basis [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFairValueAssetsAndLiabilitiesMeasuredOnRecurringBasisTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Assets Measured at Fair Value on Recurring Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Government [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Government [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Maturity of Fixed Lease Payments Under Company's Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DCCapitolPlazaAndDHSBurlingtonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">DC Capitol Plaza And DHS Burlington [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DCCapitolPlazaAndDHSBurlingtonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">DC Capitol Plaza And DHS Burlington.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DCCapitolPlazaAndDHSBurlingtonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">DC Capitol Plaza and DHS Burlington [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Restricted Cash and Cash Equivalents, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Cash and Cash Equivalent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedOperatingPropertiesEntirelyLeasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Wholly Owned Operating Properties Entirely Leased [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedOperatingPropertiesEntirelyLeasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Wholly Owned Operating Properties Entirely Leased [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedOperatingPropertiesEntirelyLeasedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wholly Owned Operating Properties Entirely Leased [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanAgreementLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mezzanine Construction Loan Agreement Lending Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanAgreementLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mezzanine construction loan agreement lending capacity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanAgreementLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mezzanine construction loan agreement lending capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable, Credit Loss Expense (Reversal)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recovery of credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForDoubtfulAccounts_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Provision for (recovery of) credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Mortgage Loans on Real Estate, Commercial and Consumer, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net carrying value of real estate collateralizing the mortgage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgageLoansOnRealEstateCommercialAndConsumerNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Loans on Real Estate, Commercial and Consumer, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Operating Lease, Liability, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating lease liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentOfConstructionLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment of construction loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentOfConstructionLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of construction loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentOfConstructionLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of construction loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity, Reverse Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse stock split, description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends Payable [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioForecastMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forecast [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskByBenchmarkAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration Risk Benchmark</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskByBenchmarkAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeLeaseDescriptionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Lease, Description [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PercentageOfRevenueByLeasingProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of revenue by leasing properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PercentageOfRevenueByLeasingProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of revenue by leasing properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PercentageOfRevenueByLeasingProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of revenue by leasing properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForwardContractsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Underlying Unsettled Forward Sales Transactions [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForwardContractsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Forward Contracts [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProfitLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss), Including Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease Contractual Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeaseContractualTermDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lease Contractual Term [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment, Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedLand_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Financing Receivable, before Allowance for Credit Loss, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, before Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeStart1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeStart1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date Range, Start</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayableOtherPayablesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesPayableOtherPayablesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable, Other Payables [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAcquiredInPlaceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">In-place Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAcquiredInPlaceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases, Acquired-in-Place</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LeasesAcquiredInPlaceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leases, Acquired-in-Place [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Term Debt, Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Weighted Average Number of Shares Outstanding, Basic, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Denominator for basic EPS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible Liabilities, Accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Accumulated Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StatementScenarioAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed lease payments, 2023</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfOperatingLeasedAssetsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Operating Leased Assets [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfOperatingLeasedAssetsTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Operating Leased Assets [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesReverseStockSplits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Reverse Stock Splits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesReverseStockSplits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reduction in the number of shares due to reverse stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RentableSquareFeetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Rentable Square Feet [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RentableSquareFeetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rentable Square Feet [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RentableSquareFeetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rentable square feet.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnearnedInterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unearned interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnearnedInterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unearned interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnearnedInterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unearned interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Events</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Receivable, Fair Value Disclosure</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansReceivableFairValueDisclosure_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total debt, Principal Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongTermDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Parties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transactions Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AssetManagementFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset Management Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AssetManagementFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Management Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AssetManagementFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Asset management fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Cash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointOneEightPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 4.18% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointOneEightPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate At Four Point One Eight Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointOneEightPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at four point one eight percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Stockholders' Equity Attributable to Parent, Ending Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Stockholders' Equity Attributable to Parent, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total stockholders&#8217; equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Attributable to Parent</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LineOfCreditFacilityAccordionFeatureAdditionalBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line Of Credit Facility Accordion Feature Additional Borrowing Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LineOfCreditFacilityAccordionFeatureAdditionalBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit facility additional maximum borrowing capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LineOfCreditFacilityAccordionFeatureAdditionalBorrowingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Line of credit facility accordion feature additional borrowing capacity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateTaxExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate taxes</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateTaxExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Tax Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Tranche Two [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationAwardTrancheTwoMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operational Performance Hurdles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfTransportationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Department of Transportation ("DOT") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfTransportationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Department Of Transportation [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfTransportationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Department of transportation.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfRealEstateLoanReceivableOriginationFees_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Real Estate Loan Receivable Origination Fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfRealEstateLoanReceivableOriginationFees_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Amortization of real estate loan receivable origination fees.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AmortizationOfRealEstateLoanReceivableOriginationFees_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of real estate loans receivable origination fees</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseInterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales-type Lease, Interest Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseInterestIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales-type leases, interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Approach and Technique [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Preferred Units [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeriesAPreferredStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Preferred Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfNonvestedShareActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Nonvested Share Activity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfNonvestedShareActivityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Stock-based Compensation Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CustomsAndBorderProtectionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customs and Border Protection ("CBP") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CustomsAndBorderProtectionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customs And Border Protection [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CustomsAndBorderProtectionMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Customs and border protection.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total real estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedPropertyPlantAndEquipment_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total real estate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfRealEstateAndIntangibleAssetsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Real Estate and Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfRealEstateAndIntangibleAssetsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Real Estate And Intangible Assets Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfRealEstateAndIntangibleAssetsTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of real estate and intangible assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allowance for credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Ending balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableAllowanceForCreditLosses_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Beginning balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, Address Line Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressAddressLine2_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, Address Line Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Measurements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateDeclaredDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Declaration Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsPayableDateDeclaredDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Date Declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Less: Dividends on participating securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends On Participating Securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Dividends on participating securities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DividendsOnParticipatingSecurities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Less: Dividends on participating securities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disclosure of Share-Based Compensation Arrangements by Share-Based Payment Award [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisclosureOfShareBasedCompensationArrangementsByShareBasedPaymentAwardTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Stock-based Compensation Expense, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InventoryRealEstateAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Inventory, Real Estate [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Future Minimum Rental Payments For Operating Leases [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule Of Future Minimum Rental Payments For Operating Leases [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Schedule of future minimum rental payments for operating leases.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument, Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Supplemental disclosure of non-cash information</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NoncashInvestingAndFinancingItemsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncash Investing and Financing Items [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input, Discount Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputDiscountRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flow Discount Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquiredSalesTypeLeaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net investment in sales-type lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquiredSalesTypeLeaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment in sales-type lease, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Income from unconsolidated real estate venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeLossFromEquityMethodInvestments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income (Loss) from Equity Method Investments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Prepaid expenses and other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PrepaidExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Prepaid Expense and Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instruments and Hedging Activities Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USJointStaffCommandJSCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S Joint Staff Command ("JSC") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USJointStaffCommandJSCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">U S Joint Staff Command J S C [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USJointStaffCommandJSCMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">U.S joint staff command ("JSC") Member</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingCodmIndividualTitleAndPositionOrGroupOrCommitteeNameExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting, CODM, Individual Title and Position or Group Name [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredUnitsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of preferred units issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PreferredUnitsIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Preferred Units, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Plan Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PlanNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Plan Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsOfLoansPastDueOrNonaccrual_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments Of Loans Past Due Or Nonaccrual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsOfLoansPastDueOrNonaccrual_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments of loans past due or nonaccrual.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsOfLoansPastDueOrNonaccrual_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payments of loans past due or nonaccrual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Assets And Liabilities Measured On Recurring And Nonrecurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Assets and Liabilities Measured on Recurring and Nonrecurring Basis [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Effective Ownership Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentOwnershipPercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Method Investment, Ownership Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSold_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cost of Goods and Services Sold, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSold_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Property operating</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostOfGoodsAndServicesSold_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cost of Product and Service Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementsReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursements receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursementsReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursements receivables.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed lease payments, 2025</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedTwoYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearTwo_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long Term Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Long term incentive plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LongTermIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long Term Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ImmigrationAndCustomsEnforcementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Immigration and customs enforcement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ImmigrationAndCustomsEnforcementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Immigration And Customs Enforcement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ImmigrationAndCustomsEnforcementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Immigration and Customs Enforcement ("ICE") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionsByRelatedPartyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related and Nonrelated Parties [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingStandardsUpdateExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounting Standards Update [Extensible List]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingStandardsUpdateExtensibleList_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standards Update [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AreaOfRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Area acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AreaOfRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Area of properties acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AreaOfRealEstateProperty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Area of Real Estate Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityAddressCityOrTown_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Address, City or Town</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CertainEntitiesControlledByViceChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Certain Entities Controlled by Vice Chairman [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CertainEntitiesControlledByViceChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Certain Entities Controlled By Vice Chairman [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CertainEntitiesControlledByViceChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Certain entities controlled by vice chairman.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CBPSavannahMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">CBP Savannah [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CBPSavannahMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">C B P Savannah [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CBPSavannahMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">CBP Savannah.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesOfLessorDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasesOfLessorDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Leases [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Reportable Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfReportableSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of reportable segment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_SecurityExchangeName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Security Exchange Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfInterestRateDerivativesHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of forward interest rate swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfInterestRateDerivativesHeld_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Interest Rate Derivatives Held</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CreditFacilityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Credit Facility [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Term Loan Facilities [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Loan, principal outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan, Principal Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsToAcquireAndDevelopRealEstateNet_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Real estate acquisitions and deposits</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsToAcquireAndDevelopRealEstateNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments To Acquire And Develop Real Estate Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsToAcquireAndDevelopRealEstateNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments to acquire and develop real estate net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NoncontrollingInterestInOperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-controlling Interest in Operating Partnership [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NoncontrollingInterestInOperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Noncontrolling Interest In Operating Partnership [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NoncontrollingInterestInOperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Noncontrolling interest in operating partnership.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration Risk Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueNetAssetLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Fair Value, Net Asset (Liability), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueNetAssetLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial liabilities, Fair value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueNetAssetLiability_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Net Asset (Liability)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsCurrentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred financing costs net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsCurrentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Issuance Costs, Current, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredFinanceCostsCurrentNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Debt Issuance Costs, Current, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mezzanine Construction Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mezzanine construction loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mezzanine Construction Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AccountsReceivableNetRelatedToTenantConstructionProjects_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Accounts receivable related to tenant construction projects</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AccountsReceivableNetRelatedToTenantConstructionProjects_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Receivable Net Related To Tenant Construction Projects</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AccountsReceivableNetRelatedToTenantConstructionProjects_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accounts receivable net related to tenant construction projects.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Antidilutive Securities, Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AntidilutiveSecuritiesNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Antidilutive Securities, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Cash Flow Hedge, Gain (Loss), before Reclassification and Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unrealized gain (loss) on treasury locks and interest rate swaps, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossCashFlowHedgeGainLossBeforeReclassificationAndTax_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unrealized gain (loss) on treasury locks and interest rate swaps, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SecondAmendedPurchaseAndSaleAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Second amended purchase and sale agreement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SecondAmendedPurchaseAndSaleAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Second Amended Purchase And Sale Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SecondAmendedPurchaseAndSaleAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Second Amended Purchase and Sale Agreement [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Paid, Excluding Capitalized Interest, Operating Activity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestPaidNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash paid for interest (net of capitalized interest of $545 and $2,026 in 2026 and 2025, respectively)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Operating Partnership [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Easterly Government Properties LP [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Partnership [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPartnershipMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating partnership.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanPaymentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction loan payment description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanPaymentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction loan payment description.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanPaymentDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loan Payment Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInLeasingReceivables_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Tenant accounts receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInLeasingReceivables_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Leasing Receivables</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Compensation expense recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllocatedShareBasedCompensationExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Stock-based compensation expense, net (recovery)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_HomelandSecurityInvestigationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Homeland Security Investigations [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_HomelandSecurityInvestigationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Homeland security investigations.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_HomelandSecurityInvestigationsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Homeland Security Investigations ("HSI") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentPeriodEndDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of Individual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Hierarchy and NAV</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsFairValueHierarchyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Hierarchy and NAV [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CashPaymentForFractionalShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Payment for Fractional Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CashPaymentForFractionalShares_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Cash payment for fractional shares.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CashPaymentForFractionalShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash payment for fractional shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetRentableArea_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate area of land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetRentableArea_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Rentable Area</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyManagementFeeRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Asset management income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PropertyManagementFeeRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Property Management Fee Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDescriptionOfVariableRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loan, Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentDescriptionOfVariableRateBasis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Description of Variable Rate Basis</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfFinancialPositionAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Financial Position [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FixedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FixedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fixed [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FixedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fixed member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative Effect, Period of Adoption, Adjustment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CumulativeEffectPeriodOfAdoptionAdjustmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cumulative Effect, Period of Adoption, Adjustment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Scheduled Amortization Market Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above And Below Market Lease Future Amortization Income Table [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above and below market lease future amortization income.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue Recognition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueRecognitionPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VestingAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Vesting [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionIneligibleItemsAggregateCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial liabilities, Carrying amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOptionIneligibleItemsAggregateCarryingAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Option, Ineligible Items, Carrying Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Class of Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementClassOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GlenAllenVAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Glen Allen, VA [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GlenAllenVAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">GlenAllenVA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FractionalSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fractional Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FractionalSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Fractional shares issued.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FractionalSharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fractional shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total liabilities (2)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Liabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired tenant improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Tenant Improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financial Instruments [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TransfersAndServicingOfFinancialInstrumentsTypesOfFinancialInstrumentsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Financial Instruments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalDividendsInExcessOfRetainedEarnings_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends and distributions paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdjustmentsToAdditionalPaidInCapitalDividendsInExcessOfRetainedEarnings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Adjustments to Additional Paid in Capital, Dividends in Excess of Retained Earnings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unconsolidated Real Estate Venture [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unconsolidated real estate venture.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockholdersEquityNoteDisclosureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders Equity Note Disclosure [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockholdersEquityNoteDisclosureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders Equity Note Disclosure [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockholdersEquityNoteDisclosureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stockholders equity note disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue associated with operating leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInDeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Deferred Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReclassificationOfReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reclassification of reverse stock split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReclassificationOfReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reclassification Of Reverse Stock Split</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReclassificationOfReverseStockSplit_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reclassification of reverse stock split.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DeferredAssetAcquisitionCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred asset acquisition costs accrued, not paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DeferredAssetAcquisitionCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Asset Acquisition Costs Accrued But Not Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DeferredAssetAcquisitionCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Deferred asset acquisition costs accrued but not paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstatePropertiesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstatePropertiesDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Properties [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Two</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2028</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTerseLabel">Interest rate swaps - Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Interest rate swaps - Liability</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest rate swaps</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateDerivativeLiabilitiesAtFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Derivative Liabilities, at Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Restricted Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RestrictedStockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Restricted Stock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee Operating Lease Liability Payments Due After Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lessee operating lease liability payments due after year four.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Variable Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_VariableRateAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Variable Rate [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeMaturityScheduleAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired Above-Market Lease Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeMaturityScheduleAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Maturity Schedule [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeMaturityScheduleAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income maturity schedule.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Finite-Lived Intangible Assets, Gross, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Above market leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IceOtayMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">ICE Otay.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IceOtayMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">ICE Otay [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IceOtayMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ICE - Otay [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Amounts outstanding under credit/loan facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving credit facility outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityMaximumAmountOutstandingDuringPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Maximum Amount Outstanding During Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Denominator for diluted EPS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityFileNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Securities Act File Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InternalRevenueServiceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Internal Revenue Service ("IRS") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InternalRevenueServiceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Internal Revenue Service [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InternalRevenueServiceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Internal revenue service.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Dividends and distributions paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfDividendsCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Ordinary Dividends, Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CoverAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cover [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSixSixPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate at Three Point Six Six Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSixSixPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at three point six six percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSixSixPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 3.66% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MeasurementInputTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Input Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsForTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments For Treasury Lock Settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsForTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payments for treasury lock settlement.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsForTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Treasury Lock Settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentsForTreasuryLockSettlement_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Treasury lock settlement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Increase (Decrease) in Accounts Payable and Accrued Liabilities, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable, accrued expenses and other liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayableAndAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Accounts Payable and Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseLeaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sales-type Lease, Lease Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesTypeLeaseLeaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sales-type leases, lease receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CumulativeEffectPeriodOfAdoptionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative Effect, Period of Adoption</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CumulativeEffectPeriodOfAdoptionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cumulative Effect, Period of Adoption [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Forfeited in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsForfeitedInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares Issued, Shares, Share-based Payment Arrangement, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanAgreementLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction loan agreement lending capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanAgreementLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loan Agreement Lending Capacity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanAgreementLendingCapacity_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction loan agreement lending capacity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContingentConsiderationAccruedNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contingent consideration accrued, not paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContingentConsiderationAccruedNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contingent Consideration Accrued Not Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContingentConsiderationAccruedNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contingent consideration accrued but not paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNetLiabilityPositionAggregateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Net Liability Position, Aggregate Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeNetLiabilityPositionAggregateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of derivatives in a net liability position</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockholdersEquityNoteDisclosureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stockholders Equity Note Disclosure [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockholdersEquityNoteDisclosureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders Equity Note Disclosure [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockholdersEquityNoteDisclosureTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stockholders equity note disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesRevenueNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease Income [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SalesRevenueNetMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue Benchmark [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_ScenarioUnspecifiedDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Scenario [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgagesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MortgagesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgages [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Number of Shares Authorized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAuthorized_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock reserved for issuance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Operating Segments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfOperatingSegments_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of operating segment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNameOfTransactionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USFSIIAlbuquerqueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">USFS II Albuquerque [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USFSIIAlbuquerqueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">U S F S I I Albuquerque [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_USFSIIAlbuquerqueMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">USFS II Albuquerque.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Segment Information</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SegmentReportingDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Segment Reporting Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AlternativeInvestmentMeasurementInput_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Alternative Investment, Measurement Input</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Tenant Construction Project Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerIncludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer, Including Assessed Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested, Number of Shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedNumberOfShares_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Units vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDeclaredTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Dividends Declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDeclaredTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Declared [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasedAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating Leased Assets [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeasedAssetsLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Leased Assets [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CertainEntitiesControlledByChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Certain Entities Controlled by Chairman [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CertainEntitiesControlledByChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Certain Entities Controlled By Chairman [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CertainEntitiesControlledByChairmanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Certain entities controlled by chairman.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfRealEstateProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NumberOfRealEstateProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Number of Real Estate Properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Extinguishment of Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gain (Loss) on Extinguishment of Debt, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainsLossesOnExtinguishmentOfDebt_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Loss on debt extinguishment</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Term of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Treasury locks, term of contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">New Accounting Pronouncements, Policy [Policy Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NewAccountingPronouncementsPolicyPolicyTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Recent Accounting Pronouncements Not Yet Adopted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RealEstateLoansReceivableNetAndInvestmentInSalesTypeLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate loans receivable, net and investment in sales-type lease, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RealEstateLoansReceivableNetAndInvestmentInSalesTypeLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Loans Receivable Net And Investment In Sales Type Lease Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RealEstateLoansReceivableNetAndInvestmentInSalesTypeLeaseNet_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate loans receivable net and investment in sales type lease net.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Maturity [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityMaturityTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule of Maturity of Fixed Lease Payments Under Our Corporate Office Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPreferredLimitedPartnersUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net proceeds from issuance of preferred units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfPreferredLimitedPartnersUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Preferred Limited Partners Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfAssets1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Disposition of Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfAssets1_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Gain (Loss) on Disposition of Assets, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnDispositionOfAssets1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain or loss on sale of operating property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OwnershipAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Ownership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_OwnershipAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Ownership [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredRevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Unsecured Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredRevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Unsecured Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredRevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Senior unsecured revolving credit facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VALomaLindaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA Loma Linda [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VALomaLindaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">V A Loma Linda [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VALomaLindaMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA Loma Linda.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 series B senior notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen Series B Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesBSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand nineteen series B senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WhollyOwnedPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wholly Owned Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_WhollyOwnedPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Wholly Owned Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InvestmentTypeExtensibleEnumeration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Investment, Type [Extensible Enumeration]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating lease term of contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Term of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseTermOfContract_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Leased period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Common Stock, Shares, Outstanding, Beginning Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common Stock, shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Shares, Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VAGoldenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA Golden [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VAGoldenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">V A Golden [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VAGoldenMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA &#8211; Golden.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentTransitionReport_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Transition Report</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EmployeeServiceShareBasedCompensationAggregateDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Payment Arrangement, Additional Disclosure [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CorporateOfficeLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Corporate Office Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CorporateOfficeLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Corporate Office Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CorporateOfficeLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Corporate office leases.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Loan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateLoanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Loans Receivable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Asset Impairment Charges, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Impairment Charges</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Impairment loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetImpairmentCharges_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Impairment loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueDiscountedCashFlowMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Valuation Technique, Discounted Cash Flow [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ValuationTechniqueDiscountedCashFlowMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash Flow [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Comprehensive Income (Loss), Net of Tax, Including Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Comprehensive income (loss)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfCashFlowsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Cash Flows [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2021 Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty One Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2021 series A senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2025 Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2025 series A senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFiveSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Five Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Value, New Issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate market value of common stock that could potentially be issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateSwapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Swaps [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateSwapMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Swap [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfAccountsNotesLoansAndFinancingReceivableTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts and Financing Receivables [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Unsecured Credit Facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Unsecured Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Senior unsecured credit facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Earnings Per Share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of Shares Sold</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharesIssued_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLoss_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net income available to Easterly Government Properties, Inc.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LeasedPropertyAverageAge_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Average age of property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LeasedPropertyAverageAge_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leased Property Average Age</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LeasedPropertyAverageAge_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Leased property average age.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Partner Type of Partners' Capital Account, Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PartnerTypeOfPartnersCapitalAccountNameDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Partner Type of Partners' Capital Account, Name [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from operating lease costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OperatingLeaseCost_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Lease, Cost</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividend yield</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedDividendRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Dividend Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Unsecured Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Unsecured Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Senior unsecured notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourRevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourRevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Four Revolving Credit Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourRevolvingCreditFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand twenty four revolving credit facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Intangible Assets, Net (Excluding Goodwill), Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible assets, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwill_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Assets, Net (Excluding Goodwill)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Partner Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PartnerTypeOfPartnersCapitalAccountAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Partner Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DrugEnforcementAgencyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Drug enforcement agency.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DrugEnforcementAgencyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Drug Enforcement Agency [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DrugEnforcementAgencyMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Drug Enforcement Agency (&#8220;DEA&#8221;) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwap2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Swap2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwap2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Swap2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwap2Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest Rate Swap2 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Risk-free interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsRiskFreeInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Risk Free Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Prepaid expenses and other assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase (Decrease) in Prepaid Expense and Other Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_DocumentFiscalYearFocus_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Document Fiscal Year Focus</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accumulated depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investment Property, Accumulated Depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentPropertyAccumulatedDepreciation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated depreciation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_Rule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Rule 10b51 Arr Modified [Flag]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_Rule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Rule 10b51 arr modified flag.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_Rule10B51ArrModifiedFlag_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Rule 10b5-1 Arrangement Modified</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskBenchmarkDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Concentration Risk Benchmark</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskBenchmarkDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk Benchmark [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnfundedLoanCommitmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Loan Unfunded Commitments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnfundedLoanCommitmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unfunded Loan Commitment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair value of restricted stock,vested</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardOptionsVestedInPeriodFairValue1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Vested in Period, Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandSubjectToGroundLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Land Subject to Ground Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LandSubjectToGroundLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Area of land leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed lease payments, 2024</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeMaturityDates_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expiration Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeMaturityDates_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Contract End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contribution of property for common units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contribution Of Property For Common Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnits_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contribution of Property for common units.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Deferred Revenue, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Deferred revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DeferredRevenue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Deferred Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock based compensation, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Shares Issued, Value, Share-Based Payment Arrangement, after Forfeiture, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Value, Share-Based Payment Arrangement, after Forfeiture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfSubsidiaryOrEquityMethodInvesteeTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsidiary or Equity Method Investee, Sale of Stock [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedPropertiesUnderDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Wholly Owned Properties Under Development [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedPropertiesUnderDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Wholly Owned Properties Under Development [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WhollyOwnedPropertiesUnderDevelopmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Wholly owned properties under development.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LeasedPercentageOfOperatingProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Leased percentage of operating properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LeasedPercentageOfOperatingProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Leased Percentage Of Operating Properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LeasedPercentageOfOperatingProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Leased percentage of operating properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLeaseNotYetCommencedTermOfContract1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Lease Not yet Commenced, Term of Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLeaseNotYetCommencedTermOfContract1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lease term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueDisclosuresAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value Disclosures [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IncreaseDecreaseInPaymentsOnOperatingLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Principal payments on operating lease obligations</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IncreaseDecreaseInPaymentsOnOperatingLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Increase Decrease In Payments On Operating Lease Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IncreaseDecreaseInPaymentsOnOperatingLeaseLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Increase decrease in payments on operating lease liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConversionOfCommonUnitsToCommonStockMonetaryValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption of common units for shares of common stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConversionOfCommonUnitsToCommonStockMonetaryValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Conversion Of Common Units To Common Stock Monetary Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConversionOfCommonUnitsToCommonStockMonetaryValue_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Conversion of common units to common stock monetary value.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareRepurchaseProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Share Repurchase Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareRepurchaseProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Repurchase Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareRepurchaseProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share repurchase program.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstatePropertiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Properties [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstatePropertiesLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Properties [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year One</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstatePropertiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Property Ownership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstatePropertiesAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Property Ownership [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_FL_lbl" xlink:role="http://www.xbrl.org/2003/role/label">FLORIDA</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="stpr_FL_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Florida [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedOnTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Consideration Received on Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockConsiderationReceivedOnTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Proceeds received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net income available to common stockholders</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetIncomeLossAvailableToCommonStockholdersBasic_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Net Income (Loss) Available to Common Stockholders, Basic</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Business Combination, Recognized Identifiable Assets Acquired and Liabilities Assumed, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired to Liability Assumed, Excess (Less)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate purchase price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockRepurchaseProgramPercentageOfOutstandingSharesAuthorizedToBeRepurchased_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase of common stock,percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockRepurchaseProgramPercentageOfOutstandingSharesAuthorizedToBeRepurchased_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Repurchase Program Percentage Of Outstanding Shares Authorized To Be Repurchased</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StockRepurchaseProgramPercentageOfOutstandingSharesAuthorizedToBeRepurchased_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Stock repurchase program percentage of outstanding shares authorized to be repurchased.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Long-Term Line of Credit, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Total revolving credit facility, Principal Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revolving credit facility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Line of Credit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorNotesTerminatedAndSettledDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior notes terminated and settled date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorNotesTerminatedAndSettledDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Senior notes terminated and settled date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt Instrument</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesDisposedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Properties Disposed [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesDisposedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating properties disposed.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentRiskAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Instrument</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentRiskAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instrument [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOfAssetsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Properties acquired for Common Units</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueOfAssetsAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value of Assets Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MEPCOMJacksonvilleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">MEPCOM Jacksonville [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MEPCOMJacksonvilleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">M E P C O M Jacksonville [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MEPCOMJacksonvilleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">MEPCOM Jacksonville.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O 2026 Q1 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O 2026 Q1 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2026Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Q1 2026 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsNeededForImmediateSettlementAggregateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets Needed for Immediate Settlement, Aggregate Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AssetsNeededForImmediateSettlementAggregateFairValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate termination value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NationalWeatherServiceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">National Weather Service [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NationalWeatherServiceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">National Weather Service [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NationalWeatherServiceMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">National Weather Service (NWS) [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Sale of Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsidiarySaleOfStockAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskPercentage1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of concentrations risk</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConcentrationRiskPercentage1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Concentration Risk, Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfVeteranAffairsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Department of Veteran Affairs ("VA") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfVeteranAffairsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Department Of Veteran Affairs [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfVeteranAffairsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Department of veteran affairs.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Revenues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Net cash used in investing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Investing Activity, Including Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_Security12bTitle_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title of 12(b) Security</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivatives and Hedging Activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeInstrumentsAndHedgingActivitiesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instruments and Hedging Activities Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Notes payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DomesticGovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">U.S. Government [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DomesticGovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Domestic Government [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DomesticGovernmentMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Domestic Government [Member].</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DEAPleasantonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">DEA Pleasanton [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DEAPleasantonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">D E A Pleasanton [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DEAPleasantonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">DEA Pleasanton.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related and Nonrelated Parties [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CapitalAdditionsMadeToPropertyOperatingPropertiesAfterAcquisition_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Additions to operating properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CapitalAdditionsMadeToPropertyOperatingPropertiesAfterAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Capital Additions Made To Property Operating Properties After Acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CapitalAdditionsMadeToPropertyOperatingPropertiesAfterAcquisition_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Capital additions made to property operating properties after acquisition.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Expense [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestExpenseMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Expense, Net [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SummaryOfRealEstateLoanReceivableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Summary of real estate loan receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SummaryOfRealEstateLoanReceivableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Summary Of Real Estate Loan Receivable [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SummaryOfRealEstateLoanReceivableTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Real Estate Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O2025Q2 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O2025Q2 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q2DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Q2 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredMarketLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed deferred market liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredMarketLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Deferred Market Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredMarketLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total intangible liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeEnd1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Extended maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentMaturityDateRangeEnd1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Maturity Date Range, End</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Fixed lease payments, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value Assets And Liabilities Measured On Recurring And Nonrecurring Basis [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueAssetsAndLiabilitiesMeasuredOnRecurringAndNonrecurringBasisTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring and Nonrecurring [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed lease payments, 2027</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedFourYears_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AdditionalPaidInCapitalMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Additional Paid-in Capital [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardValueOfSharesAvailableForGrant_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gross sale of common stock available for grant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardValueOfSharesAvailableForGrant_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share Based Compensation Arrangement By Share Based Payment Award Value Of Shares Available For Grant</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardValueOfSharesAvailableForGrant_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Share-based compensation arrangement by share-based payment award, value of shares available for grant.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Frequency</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementFrequencyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursablePayrollExpensesInterestAndDefeasanceCostsDueFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reimbursable payroll expenses interest and defeasance costs due from related party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursablePayrollExpensesInterestAndDefeasanceCostsDueFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reimbursable Payroll Expenses Interest And Defeasance Costs Due From Related Party</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReimbursablePayrollExpensesInterestAndDefeasanceCostsDueFromRelatedParty_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reimbursable payroll expenses interest and defeasance costs due from related party.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Income Location, Balance [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedTenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed tenant improvements.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedTenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Tenant Improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedTenantImprovements_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired tenant improvements</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGrantDateIntrinsicValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Grants</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsGrantsInPeriodGrantDateIntrinsicValueTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Share-Based Compensation Arrangement by Share-Based Payment Award, Options, Grants in Period, Grant Date Intrinsic Value [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_TradingSymbol_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Trading Symbol</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentInLieuOfTaxesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Payment in Lieu of Taxes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentInLieuOfTaxesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payment In Lieu Of Taxes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PaymentInLieuOfTaxesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Payment in lieu of taxes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Schedule Of Related Party Transactions By Related Party [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRelatedPartyTransactionsByRelatedPartyTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of notes payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Notes Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Proceeds from Notes Payable, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Board of Directors [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Director [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_DirectorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Director</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Subsequent Event Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Event Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Line of Credit Facility, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityDescription_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Description</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AllowanceForCreditLossesOnFinancingReceivablesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Allowance for Credit Losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from financing activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Financing Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Line of Credit Facility, Unused Capacity, Commitment Fee Percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LineOfCreditFacilityUnusedCapacityCommitmentFeePercentage_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Unused facility fee percentage</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Lease Amortization Income Remainder Of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Above market lease amortization income remainder of fiscal year.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected life</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SharebasedCompensationArrangementBySharebasedPaymentAwardFairValueAssumptionsExpectedTerm1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Term</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value, Recurring</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueMeasurementsRecurringMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Fair Value, Recurring [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total future minimum lease payments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Imputed interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, Undiscounted Excess Amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 series A senior notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand nineteen series A senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GlobalInvestorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Global investor.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GlobalInvestorMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Global Investor [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ExchangeOfNonControllingInterestInOperatingPartnership_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Non-controlling interest in Operating Partnership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ExchangeOfNonControllingInterestInOperatingPartnership_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exchange Of Non Controlling Interest In Operating Partnership</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ExchangeOfNonControllingInterestInOperatingPartnership_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exchange of non-controlling interest in operating partnership.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentsOfTermLoan_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Term loan repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentsOfTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term loan repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentsOfTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments Of Term Loan</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentsOfTermLoan_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayments of term loan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementEquityComponentsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Components [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior Unsecured Notes Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Senior Unsecured Notes Payable [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeniorUnsecuredNotesPayableMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Senior unsecured notes payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VAPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA Portfolio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VAPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">V A Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VAPortfolioMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA Portfolio [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Equity Component</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityComponentDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity Component [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByAssetClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Asset Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RealEstateAndIntangiblesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate and Intangibles</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RealEstateAndIntangiblesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate And Intangibles Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RealEstateAndIntangiblesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Real estate and intangibles disclosure.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSevenTwoPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate at Three Point Seven Two Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSevenTwoPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at three point seven two percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointSevenTwoPercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 3.72% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired and Liability Assumed [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRecognizedIdentifiedAssetsAcquiredAndLiabilitiesAssumedTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Values of Assets Acquired and Liabilities Assumed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Business Acquisition</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensationGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Issued, Value, Share-Based Payment Arrangement, before Forfeiture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodValueShareBasedCompensationGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Stock based compensation, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MajorCustomersAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Customer</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MajorCustomersAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfHomelandSecurityDhsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Department of Homeland Security ("DHS") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfHomelandSecurityDhsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Department of Homeland Security ("DHS").</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Depreciation, Depletion and Amortization, Nonproduction, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Depreciation and amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DepreciationAndAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Depreciation, Depletion and Amortization, Nonproduction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real estate loan receivables, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Real estate loan receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NotesReceivableNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Real estate loans receivable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StatementOfIncomeAndComprehensiveIncomeAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Comprehensive Income [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwillAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Intangible assets, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IntangibleAssetsNetExcludingGoodwillAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Intangible Assets, Net (Excluding Goodwill) [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CorporateJointVentureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Corporate Joint Venture [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CorporateJointVentureMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Joint Venture [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Maximum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MaximumMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Maximum [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendPayableDateToBePaidDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends Payable, Date to be Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendPayableDateToBePaidDayMonthAndYear_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Payment Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoanPurchaseCommitmentsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loan Purchase Commitments [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Statistical Measurement</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_RangeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statistical Measurement [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets, Accumulated Amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsAccumulatedAmortization_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated amortization</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SharesSettledInCash_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shares Settled In Cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SharesSettledInCash_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shares settled in cash.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SharesSettledInCash_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares settled in cash</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandEighteenTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2018 Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandEighteenTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Eighteen Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandEighteenTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand eighteen term loan facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Value, Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockValue_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Common stock, par value $0.01, 80,000,000 shares authorized 46,444,374 and 46,303,469 shares issued and outstanding at March 31, 2026 and December 31, 2025, respectively</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Noncontrolling Interest, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Net of Tax, Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTaxPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Other comprehensive (income) loss attributable to non-controlling interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeFixedInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forward swaps interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeFixedInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Fixed Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeFixedInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Treasury rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RegulatoryAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Regulatory Assets [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RegulatoryAssetsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Regulatory assets.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfFinancingReceivableAllowanceForCreditLossesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Allowance for Credit Loss [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DividendsAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Dividends [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSixteenTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2016 Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSixteenTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Sixteen Term Loan Facility [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSixteenTermLoanFacilityMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand sixteen term loan facility.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total equity</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Balance</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Equity, Including Portion Attributable to Noncontrolling Interest</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ICECharlestonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ICE Charleston [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ICECharlestonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">I C E Charleston [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ICECharlestonMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">ICE Charleston.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fixed lease payments, Thereafter</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LessorOperatingLeasePaymentsToBeReceivedThereafter_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessor, Operating Lease, Payment to be Received, after Year Five</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StateAndLocalGovernmentTenantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">State and local government tenants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StateAndLocalGovernmentTenantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">State and local government tenants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StateAndLocalGovernmentTenantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">State and Local Government Tenants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OrganizationAndSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization And Significant Accounting Policies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OrganizationAndSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization And Significant Accounting Policies [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OrganizationAndSignificantAccountingPoliciesTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Organization and significant accounting policies.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LegalEntityTypeOfCounterpartyDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Legal Entity Type of Counterparty [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_JVPartnerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">JV [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_JVPartnerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">J V Partner [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_JVPartnerMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">JV Partner [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RedemptionOfCommonUnitsToCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Redemption of common units for shares of common stock (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RedemptionOfCommonUnitsToCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Redemption Of Common Units To Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RedemptionOfCommonUnitsToCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Redemption of common units to common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DerivativeFloatingRateIndex_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Floating Rate Index</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DerivativeFloatingRateIndex_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Floating Rate Index</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DerivativeFloatingRateIndex_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Derivative floating rate index.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of deferred financing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of Debt Issuance Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Remainder of Fiscal Year</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeRemainderOfFiscalYear_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2026</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDistributionsInExcessOfNetIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedDistributionsInExcessOfNetIncomeMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Distributions in Excess of Net Income [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty One A T M Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">2021 ATM program.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2021 ATM Program [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyOneATMProgramMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">2021 ATM Programs [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Other income (expense)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherNonoperatingIncomeExpenseAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Nonoperating Income (Expense) [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanExtendedMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mezzanine construction loan extended maturity date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanExtendedMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mezzanine Construction Loan Extended Maturity Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MezzanineConstructionLoanExtendedMaturityDate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mezzanine construction loan extended maturity date.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AggregateOfferingPriceOfSharesOfCommonStockThatCompanyMayIssueAndSell_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Aggregate offering price of shares of common stock that the Company may issue and sell</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AggregateOfferingPriceOfSharesOfCommonStockThatCompanyMayIssueAndSell_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Aggregate Offering Price Of Shares Of Common Stock That Company May Issue And Sell</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AggregateOfferingPriceOfSharesOfCommonStockThatCompanyMayIssueAndSell_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Aggregate offering price of shares of common stock that Company may issue and sell.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expected volatility</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardFairValueAssumptionsExpectedVolatilityRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Fair Value Assumptions, Expected Volatility Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpenses_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Finite-Lived Intangible Assets by Major Class [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FiniteLivedIntangibleAssetsByMajorClassAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Finite-Lived Intangible Assets by Major Class</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unconsolidated Real Estate Venture [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unconsolidated Real Estate Venture [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_UnconsolidatedRealEstateVentureLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Unconsolidated real estate venture.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Borrowings</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfDebtTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Debt [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndOtherAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accounts payable, accrued expenses and other liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsPayableAndOtherAccruedLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts Payable and Other Accrued Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Related Party Transaction [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RelatedPartyTransactionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Related Party Transaction [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountsNotesAndLoansReceivableLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounts, Notes, Loans and Financing Receivable [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenue</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfBusinessAcquisitionsByAcquisitionTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Recognized Asset Acquired, Property, Plant, and Equipment, Building</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedBuildings_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Building</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityRegistrantName_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Registrant Name</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Debt</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMonthlyInterestFixedRate_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Construction loan monthly interest fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMonthlyInterestFixedRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction Loan Monthly Interest Fixed Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ConstructionLoanMonthlyInterestFixedRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction loan monthly interest fixed rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BelowMarketLeasesAssumedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Below market leases assumed.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BelowMarketLeasesAssumedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Leases Assumed [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BelowMarketLeasesAssumedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Below Market Leases Assumed</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BelowMarketLeasesAssumedMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Below-market Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit Concentration Risk [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CustomerConcentrationRiskMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Customer Concentration Risk [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SubsequentEventsAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Subsequent Events [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">SOFR [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SecuredOvernightFinancingRateSofrOvernightIndexSwapRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Secured Overnight Financing Rate (SOFR) Overnight Index Swap Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeVariableInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Floating interest rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeVariableInterestRate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative, Variable Interest Rate</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Measurement Frequency</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueByMeasurementFrequencyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Measurement Frequency [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareCashPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends and distributions paid, per share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareCashPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Dividends, Per Share, Cash Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StateOfCaliforniaCAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">State of California ("CA") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_StateOfCaliforniaCAMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">State of California ("CA") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Net Proceeds</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Issuance of Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Net proceeds from the settlement of shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Expenses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CostsAndExpensesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Costs and Expenses [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2024 Equity Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand twenty four equity incentive plan.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandTwentyFourEquityIncentivePlanMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Twenty Four Equity Incentive Plan [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityCommonStockSharesOutstanding_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Common Stock, Shares Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Accumulated Other Comprehensive Income (Loss), Net of Tax, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accumulated Other Comprehensive Income (Loss), Net of Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Accumulated other comprehensive loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentOfSalesTypeLeaseAndRealEstateLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayment Of Sales Type Lease And Real Estate Loan Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentOfSalesTypeLeaseAndRealEstateLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Repayment of sales type lease and real estate loan receivable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_RepaymentOfSalesTypeLeaseAndRealEstateLoanReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repayment of sales-type lease and real estate loans receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FourPointThreeOnePercentageUnderUSDTermSOFRMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Four Point Three One Percentage Under USD Term SOFR [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FourPointThreeOnePercentageUnderUSDTermSOFRMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">4.31% under USD term SOFR.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FourPointThreeOnePercentageUnderUSDTermSOFRMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">4.31% Under USD Term SOFR [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Aggregate units granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shares/Units, Granted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriod_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Equity Instruments Other than Options, Grants in Period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AccountingStandardUpdate201409Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Accounting standard update 2014 09.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AccountingStandardUpdate201409Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Standard Update 2014 09 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AccountingStandardUpdate201409Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">ASU 2014-09 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_Assets_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesCSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2019 series C senior notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesCSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Nineteen Series C Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandNineteenSeriesCSeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand nineteen series C senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FinancingReceivableRecordedInvestmentClassOfFinancingReceivableDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Class of Financing Receivable [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Income Statement [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PercentageOfMemberInterestAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Percentage of Member Interest Acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PercentageOfMemberInterestAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of member interest acquired.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PercentageOfMemberInterestAcquired_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Percentage of membership interests acquired</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AcquiredLeasingCommissionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Acquired Leasing Commissions [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AcquiredLeasingCommissionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Acquired Leasing Commissions [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_AcquiredLeasingCommissionsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Acquired leasing commissions.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Sale of Stock, Number of Shares Issued in Transaction</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_SaleOfStockNumberOfSharesIssuedInTransaction_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of settled common stock shares</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfTreasuryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Department of Treasury ("TREAS") [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfTreasuryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Department of Treasury [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DepartmentOfTreasuryMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Department of treasury.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanDraws_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term loan draws</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanDraws_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Term loan draws.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TermLoanDraws_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Term Loan Draws</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Number of Shares Issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Issuance of common stock (in share)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, New Issues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesNewIssues_lbl" xlink:role="http://www.xbrl.org/2009/role/netLabel">Number of shares issued</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareholdersEquityTable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Shareholders Equity [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareholdersEquityTable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Shareholders Equity [Table]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ShareholdersEquityTable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Shareholders equity.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total term loan facilities, net, Principal Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Term loan facilities, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Diluted EPS</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Earnings Per Share, Diluted, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EarningsPerShareDiluted_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Earnings Per Share, Diluted</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointZeroOnePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Interest Swap Rate at 4.01% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointZeroOnePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 2.58% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointZeroOnePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate At Four Point Zero One Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtFourPointZeroOnePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at four point zero one percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">O2025Q1 Dividends [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">O2025Q1 Dividends.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_O2025Q1DividendsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Q1 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Title of Individual</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_TitleOfIndividualWithRelationshipToEntityDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Title and Position [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_CityAreaCode_lbl" xlink:role="http://www.xbrl.org/2003/role/label">City Area Code</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Senior notes, aggregate principal amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DebtInstrumentIssuedPrincipal_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Debt Instrument, Issued, Principal</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnitsPartialConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contribution of property for common units, partial consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnitsPartialConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contribution Of Property For Common Units Partial Consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ContributionOfPropertyForCommonUnitsPartialConsideration_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Contribution of property for common units, partial consideration</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Other Comprehensive Income (Loss), Net of Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OtherComprehensiveIncomeLossNetOfTax_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Other comprehensive income (loss):</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performance Period End Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Share-Based Compensation Arrangement by Share-Based Payment Award, Expiration Date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardExpirationDate_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Equity incentive plan expiration date</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Financing Receivable, Credit Loss, Expense (Reversal)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Recovery of credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Provision for (recovery of) credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProvisionForLoanLossesExpensed_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Provision for (recovery of) credit losses</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FirstAmendmentToSecondAmendedAndRestatedSeniorCreditAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">First Amendment [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FirstAmendmentToSecondAmendedAndRestatedSeniorCreditAgreementMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">First Amendment To Second Amended And Restated Senior Credit Agreement [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GSABuffaloMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Various GSA - Buffalo Property [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_GSABuffaloMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">GSA - Buffalo.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionBaselineSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performance Condition Baseline Share Price</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionBaselineSharePrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Baseline price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OfferingCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Offering costs accrued, not paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OfferingCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Offering Costs Accrued But Not Paid</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OfferingCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Offering costs accrued but not paid.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Term loan draws</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Credit facility draws</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ProceedsFromLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Lines of Credit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessAcquisitionLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnusualOrInfrequentItemAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Unusual or Infrequent Item, or Both</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_UnusualOrInfrequentItemAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Unusual or Infrequent Item, or Both [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DerivativeInstrumentGainLossReclassifiedFromAociInToIncomeEffectivePortionStatementOfIncomeOrComprehensiveIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Instrument Gain Loss Reclassified From Aoci in to Income Effective Portion Statement of Income or Comprehensive Income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DerivativeInstrumentGainLossReclassifiedFromAociInToIncomeEffectivePortionStatementOfIncomeOrComprehensiveIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Derivative instrument gain loss reclassified from aoci in to income effective portion statement of income or comprehensive income.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_DerivativeInstrumentGainLossReclassifiedFromAociInToIncomeEffectivePortionStatementOfIncomeOrComprehensiveIncome_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain (loss) reclassified from AOCI into interest expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentsJointVentures_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Investment in unconsolidated real estate venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RealEstateInvestmentsJointVentures_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate Investments, Joint Ventures</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilities_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedTotalLabel">Total Intangible liabilities, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination Recognized Identifiable Assets Acquired And Liabilities Assumed Intangible Liabilities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilities_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Business combination recognized identifiable assets acquired and liabilities assumed intangible liabilities.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwapEffectiveMarchTwentyFourThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Swap Effective MarchTwenty Four Thousand Twenty Five [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwapEffectiveMarchTwentyFourThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest Rate Swap Effective MarchTwenty Four Thousand Twenty Five.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwapEffectiveMarchTwentyFourThousandTwentyFiveMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Swap Effective March 24, 2025 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateNamePropertyTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgageNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Total mortgage notes payable, net, Principal Outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgageNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Mortgage notes payable, net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgageNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Mortgage Notes Payable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_MortgageNotesPayable_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Mortgage notes payable.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplitConversionRatio1_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stockholders' Equity Note, Stock Split, Conversion Ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockholdersEquityNoteStockSplitConversionRatio1_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse stock split ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Grant of unvested restricted stock, net (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Restricted Stock Award, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Grant of unvested restricted stock (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CorporateGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Corporate general and administrative</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CorporateGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Corporate General And Administrative Expense</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_CorporateGeneralAndAdministrativeExpense_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Corporate general and administrative expense.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Amortization of above- / below-market leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AmortizationOfAboveAndBelowMarketLeases_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Amortization of above and below Market Leases</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentDividendsOrDistributions_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Distributions from investment in unconsolidated real estate venture</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_EquityMethodInvestmentDividendsOrDistributions_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Proceeds from Equity Method Investment, Distribution</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Including Disposal Group and Discontinued Operations, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/periodStartLabel">Cash and cash equivalents and Restricted cash, beginning of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/periodEndLabel">Cash and cash equivalents and Restricted cash, end of period</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash, Cash Equivalent, Restricted Cash, and Restricted Cash Equivalent, Including Discontinued Operation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WeightedAverageNumberOfSharesOutstandingBasicAndDilutedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Weighted average number of shares outstanding basic and diluted.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WeightedAverageNumberOfSharesOutstandingBasicAndDilutedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Weighted Average Number of Shares Outstanding Basic and Diluted [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WeightedAverageNumberOfSharesOutstandingBasicAndDilutedAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Weighted-average common shares outstanding</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WilliamCTrimbleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">William C. Trimble [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WilliamCTrimbleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">William C. Trimble.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_WilliamCTrimbleMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">William C. Trimble, III [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_MinorityInterestInOperatingPartnerships_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non-controlling interest in Operating Partnership</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ForwardContractIndexedToIssuersEquityShares_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Number of unsettled common stock shares sold</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Operating Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Operating Properties [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_OperatingPropertiesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Operating properties.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ShareBasedCompensation_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Share-Based Payment Arrangement, Noncash Expense, Total</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfStockIssuanceCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of offering costs</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwap1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Rate Swap1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwap1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Swap1 [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestRateSwap1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest rate swap1.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FinancingCostsAccruedButNotPaid_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Deferred financing costs accrued, not paid</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_StockRepurchaseProgramNumberOfSharesAuthorizedToBeRepurchased_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Repurchase of common stock,shares</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_FoodAndDrugAdministrationMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Food and drug administration.</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_FairValueInputsLevel1Member_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Level 1 [Member]</link:label>
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          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NonGovernmentalTenantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Non Governmental Tenants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NonGovernmentalTenantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Non Governmental Tenants [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_NonGovernmentalTenantsMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Non governmental tenants.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeContractTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Derivative Contract</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DerivativeContractTypeDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Derivative Contract [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRealEstatePropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Summary of Composition of Lease Revenue Recognized Between Fixed and Variable Components</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ScheduleOfRealEstatePropertiesTableTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Schedule of Real Estate Properties [Table Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightFivePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Swap Rate at Three Point Eight Five Percentage Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightFivePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Interest swap rate at three point eight five percentage fixed rate.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InterestSwapRateAtThreePointEightFivePercentageFixedRateMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest Swap Rate at 3.85% Fixed Rate [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityInteractiveDataCurrent_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Interactive Data Current</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_IncomeStatementLocationDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Statement of Income Location, Balance [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cash flows from operating activities</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivitiesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cash Provided by (Used in) Operating Activity, Including Discontinued Operation [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionPercentageEarnedAtMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Performance Condition Percentage Earned At Maximum</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionPercentageEarnedAtMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Percentage of the target performance based award earned at maximum share price.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_PerformanceConditionPercentageEarnedAtMaximum_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Performance-based percentage earned</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Credit facility repayments</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RepaymentsOfLinesOfCredit_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Repayments of Lines of Credit</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LumpSumReimbursementsReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lump Sum Reimbursements Received</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LumpSumReimbursementsReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Lump sum reimbursements received.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_LumpSumReimbursementsReceived_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Lump sum reimbursements received from FDA Atlanta</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnSaleOfProperties_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Gain on the sale of operating property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnSaleOfProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Gain on the sale of operating property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_GainLossOnSaleOfProperties_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Gain (Loss) on Sale of Properties</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2017 series A senior notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Two Thousand Seventeen Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_TwoThousandSeventeenSeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Two thousand seventeen series A senior notes member.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate, Type of Property</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_MortgageLoansOnRealEstateDescriptionTypeOfPropertyAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Real Estate, Type of Property [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLand_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Land acquired amount</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsToAcquireLand_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments to Acquire Land</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialForwardPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Initial forward price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialForwardPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Initial Forward Price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_InitialForwardPrice_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Initial forward price</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Contract with Customer, Asset, after Allowance for Credit Loss, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Contract assets</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ContractWithCustomerAssetNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Contract with Customer, Asset, after Allowance for Credit Loss</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryLockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Treasury Lock [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_TreasuryLockMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Treasury Locks [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AboveMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Above Market Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AboveMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Above Market Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AboveMarketLeasesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Above-market Leases [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Dividend</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Dividends declared per common share</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_CommonStockDividendsPerShareDeclared_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Common Stock, Dividends, Per Share, Declared</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CumulativeEffectPeriodOfAdoptionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Cumulative Effect, Period of Adoption</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="srt_CumulativeEffectPeriodOfAdoptionDomain_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Cumulative Effect, Period of Adoption [Domain]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_EntityTaxIdentificationNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Entity Tax Identification Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenuesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenues [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Long-Term Debt, Type</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LongtermDebtTypeAxis_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Long-Term Debt, Type [Axis]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReverseUnitSplitRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Reverse Unit Split Ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReverseUnitSplitRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Reverse unit split ratio.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ReverseUnitSplitRatio_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Reverse unit split ratio</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ExchangeOfCommonUnitsForSharesOfCommonStockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Exchange of Common Units for Shares of Common Stock</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ExchangeOfCommonUnitsForSharesOfCommonStockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Exchange Of Common Units For Shares Of Common Stock [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_ExchangeOfCommonUnitsForSharesOfCommonStockAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Exchange of common units for shares of common stock.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Organization and Basis of Presentation</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_OrganizationConsolidationAndPresentationOfFinancialStatementsDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Organization, Consolidation and Presentation of Financial Statements Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Real Estate Loan Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Loans, Notes, Trade and Other Receivables Disclosure [Text Block]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LoansNotesTradeAndOtherReceivablesDisclosureTextBlock_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Real Estate Loans Receivable</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaCorpusChristiMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">VA - Corpus Christi</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaCorpusChristiMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">VA - Corpus Christi [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_VaCorpusChristiMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">VA - Corpus Christi.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeOther_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Income, Other</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestIncomeOther_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Interest income</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressGross_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Construction in progress</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressGross_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Construction in Progress, Gross</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_ConstructionInProgressGross_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Work-in-Progress</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dei_LocalPhoneNumber_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Local Phone Number</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Below Market Lease, Amortization Income, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BelowMarketLeaseAmortizationIncomeYearFour_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Series A Senior Notes [Member]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_SeriesASeniorNotesMember_lbl" xlink:role="http://www.xbrl.org/2003/role/documentation">Series A senior notes.</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Payments of Financing Costs, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Payments of Financing Costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_PaymentsOfFinancingCosts_lbl" xlink:role="http://www.xbrl.org/2009/role/negatedLabel">Payment of deferred financing costs</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_AccountingPoliciesAbstract_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Accounting Policies [Abstract]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Disaggregation Of Revenue [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_DisaggregationOfRevenueLineItems_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Disaggregation of Revenue [Line Items]</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquiredDirectFinancingLeaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Business Combination, Acquired Net Investment in Lease, Direct Financing Lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_BusinessCombinationAcquiredDirectFinancingLeaseReceivable_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Net investment in finance lease</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Total revenues</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/verboseLabel">Income recognized</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Revenue from Contract with Customer, Excluding Assessed Tax</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateCashFlowHedgeDerivativeAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/totalLabel">Interest Rate Cash Flow Hedge Derivative at Fair Value, Net, Total</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateCashFlowHedgeDerivativeAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Fair Value</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_InterestRateCashFlowHedgeDerivativeAtFairValueNet_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Interest Rate Cash Flow Hedge Derivative at Fair Value, Net</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardForfeited_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Stock Issued During Period, Shares, Restricted Stock Award, Forfeited</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_StockIssuedDuringPeriodSharesRestrictedStockAwardForfeited_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Forfeiture of unvested restricted stock, (in shares)</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/label">Lessee, Operating Lease, Liability, to be Paid, Year Four</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">2030</link:label>
          <link:label xml:lang="en-US" xlink:type="resource" xlink:label="dea_IncreaseDecreaseInAllocationOfNonControllingInterestInOperatingPartnership_lbl" xlink:role="http://www.xbrl.org/2003/role/terseLabel">Allocation of non-controlling interest in Operating Partnership</link:label>
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        </link:calculationLink>
        <link:calculationLink xlink:type="extended" xlink:role="http://easterlyreit.com/20260331/taxonomy/role/Role_DisclosureLeasesScheduleOfMaturityOfFixedLeasePaymentsUnderCompanySCorporateOfficeLeasesDetail">
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          <link:loc xlink:type="locator" xlink:href="dea-20260331.xsd#dea_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour" xlink:label="dea_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour"/>
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      </link:linkbase>
    </xsd:appinfo>
  </xsd:annotation>
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  <xsd:element id="dea_UnearnedInterestIncome" name="UnearnedInterestIncome" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_O2025Q3DividendsMember" name="O2025Q3DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PercentageOfMemberInterestAcquired" name="PercentageOfMemberInterestAcquired" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_ReverseUnitSplitRatio" name="ReverseUnitSplitRatio" type="xbrli:pureItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_ConstructionLoanMember" name="ConstructionLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateOneMember" name="InterestSwapRateAtThreePointEightSixPercentageFixedRateOneMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InitialRecognitionOfLiabilitiesRelatedToOperatingLeaseRightOfUseAssets" name="InitialRecognitionOfLiabilitiesRelatedToOperatingLeaseRightOfUseAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_MEPCOMJacksonvilleMember" name="MEPCOMJacksonvilleMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_OrganizationAndSignificantAccountingPoliciesLineItems" name="OrganizationAndSignificantAccountingPoliciesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AdditionalPaidInCapitalUnderExchangeOfOperatingPartnershipUnitsForCommonStock" name="AdditionalPaidInCapitalUnderExchangeOfOperatingPartnershipUnitsForCommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_PerformanceConditionPercentageEarnedAtMaximum" name="PerformanceConditionPercentageEarnedAtMaximum" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_IncreaseDecreaseInPaymentsOnOperatingLeaseLiabilities" name="IncreaseDecreaseInPaymentsOnOperatingLeaseLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_PercentageOfRevenueByLeasingProperties" name="PercentageOfRevenueByLeasingProperties" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_NotesPayableMember" name="NotesPayableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PaymentsToAcquireAndDevelopRealEstateNet" name="PaymentsToAcquireAndDevelopRealEstateNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_CapitalAdditionsMadeToPropertyDevelopmentPropertiesAfterAcquisition" name="CapitalAdditionsMadeToPropertyDevelopmentPropertiesAfterAcquisition" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_PrivateTenantsMember" name="PrivateTenantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandTwentyOneSeriesBSeniorNotesMember" name="TwoThousandTwentyOneSeriesBSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DrugEnforcementAgencyMember" name="DrugEnforcementAgencyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointEightSixPercentageFixedRateMember" name="InterestSwapRateAtThreePointEightSixPercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ICE-OtayMember" name="ICE-OtayMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AggregateOfferingPriceOfSharesOfCommonStockThatCompanyMayIssueAndSell" name="AggregateOfferingPriceOfSharesOfCommonStockThatCompanyMayIssueAndSell" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesLineItems" name="ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ForwardSalesAgreementsMember" name="ForwardSalesAgreementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_SeniorUnsecuredNotesMember" name="SeniorUnsecuredNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AmortizationOfTreasuryLockSettlement" name="AmortizationOfTreasuryLockSettlement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_OfferingCostsAccruedButNotPaid" name="OfferingCostsAccruedButNotPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_RealEstateLoansReceivableNetAndInvestmentInSalesTypeLeaseNet" name="RealEstateLoansReceivableNetAndInvestmentInSalesTypeLeaseNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_RentableSquareFeetMember" name="RentableSquareFeetMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ForwardSalesAgreementMember" name="ForwardSalesAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear" name="AboveMarketLeaseAmortizationIncomeRemainderOfFiscalYear" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_DevelopmentPropertiesMember" name="DevelopmentPropertiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestRateSwapEffectiveMarchTwentyFourThousandTwentyFiveMember" name="InterestRateSwapEffectiveMarchTwentyFourThousandTwentyFiveMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ParkingGarageMember" name="ParkingGarageMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TermLoanDraws" name="TermLoanDraws" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_VAPortfolioMember" name="VAPortfolioMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtFourPointOneEightPercentageFixedRateMember" name="InterestSwapRateAtFourPointOneEightPercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtFourPointZeroOnePercentageFixedRateMember" name="InterestSwapRateAtFourPointZeroOnePercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ReimbursableRentAndOfficeExpenseDueToRelatedParty" name="ReimbursableRentAndOfficeExpenseDueToRelatedParty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_FinancingCostsAccruedButNotPaid" name="FinancingCostsAccruedButNotPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_ContributionOfPropertyForCommonUnitsPartialConsideration" name="ContributionOfPropertyForCommonUnitsPartialConsideration" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_AboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock" name="AboveAndBelowMarketLeaseFutureAmortizationIncomeTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_InvestmentsInSalesTypeLeaseAndRealEstateLoanReceivableNet" name="InvestmentsInSalesTypeLeaseAndRealEstateLoanReceivableNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_InterestRateSwap1Member" name="InterestRateSwap1Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_WilliamCTrimbleMember" name="WilliamCTrimbleMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointSixSixPercentageFixedRateMember" name="InterestSwapRateAtThreePointSixSixPercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointSevenTwoPercentageFixedRateMember" name="InterestSwapRateAtThreePointSevenTwoPercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_MortgageNotesPayable" name="MortgageNotesPayable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_FixedMember" name="FixedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DCCapitolPlazaAndDHSBurlingtonMember" name="DCCapitolPlazaAndDHSBurlingtonMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AcquiredLeasingCommissionsMember" name="AcquiredLeasingCommissionsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ShareRepurchaseProgramMember" name="ShareRepurchaseProgramMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_WhollyOwnedOperatingPropertiesEntirelyLeasedMember" name="WhollyOwnedOperatingPropertiesEntirelyLeasedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AmortizationOfRealEstateLoanReceivableOriginationFees" name="AmortizationOfRealEstateLoanReceivableOriginationFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_USCitizenshipAndImmigrationServicesMember" name="USCitizenshipAndImmigrationServicesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnconsolidatedRealEstateVentureTable" name="UnconsolidatedRealEstateVentureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DividendsOnParticipatingSecurities" name="DividendsOnParticipatingSecurities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_DCCapitolPlazaDHSBurlingtonAndYorkSpaceSystemsGreenwoodVillageMember" name="DCCapitolPlazaDHSBurlingtonAndYorkSpaceSystemsGreenwoodVillageMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnitedStatesCoastGuardMember" name="UnitedStatesCoastGuardMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandSeventeenSeriesASeniorNotesMember" name="TwoThousandSeventeenSeriesASeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DepartmentOfVeteranAffairsMember" name="DepartmentOfVeteranAffairsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_FoodAndDrugAdministrationMember" name="FoodAndDrugAdministrationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_LeasedPercentageOfOperatingProperties" name="LeasedPercentageOfOperatingProperties" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_WhollyOwnedOperatingPropertiesMember" name="WhollyOwnedOperatingPropertiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_Rule10B51ArrModifiedFlag" name="Rule10B51ArrModifiedFlag" type="xbrli:booleanItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_TwoThousandNineteenSeriesCSeniorNotesMember" name="TwoThousandNineteenSeriesCSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ReimbursementsReceivables" name="ReimbursementsReceivables" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_NonRule10B51ArrModifiedFlag" name="NonRule10B51ArrModifiedFlag" type="xbrli:booleanItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_PaymentsForTreasuryLockSettlement" name="PaymentsForTreasuryLockSettlement" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_RepaymentOfSalesTypeLeaseAndRealEstateLoanReceivable" name="RepaymentOfSalesTypeLeaseAndRealEstateLoanReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_TwoThousandTwentyOneATMProgramMember" name="TwoThousandTwentyOneATMProgramMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandNineteenSeriesBSeniorNotesMember" name="TwoThousandNineteenSeriesBSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InitialRecognitionOfOperatingLeaseRightOfUseAssets" name="InitialRecognitionOfOperatingLeaseRightOfUseAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_DepartmentOfTransportationMember" name="DepartmentOfTransportationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_IceOtayMember" name="IceOtayMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnconsolidatedRealEstateVenturesAbstract" name="UnconsolidatedRealEstateVenturesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_WeightedAverageAmortizationPeriod" name="WeightedAverageAmortizationPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_USJointStaffCommandJSCMember" name="USJointStaffCommandJSCMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PropertiesUnderDevelopmentMember" name="PropertiesUnderDevelopmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ContributionOfPropertyForCommonUnits" name="ContributionOfPropertyForCommonUnits" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_JUD-MedfordMember" name="JUD-MedfordMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_USGeneralServicesAdministrationMember" name="USGeneralServicesAdministrationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CorporateOfficeLeasesMember" name="CorporateOfficeLeasesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnconsolidatedRealEstateVentureAbstract" name="UnconsolidatedRealEstateVentureAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandTwentyFourSeriesBSeniorNotesMember" name="TwoThousandTwentyFourSeriesBSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_GeneralServicesAdministrationMember" name="GeneralServicesAdministrationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_RepaymentOfConstructionLoan" name="RepaymentOfConstructionLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_MezzanineConstructionLoanMonthlyInterestFixedRate" name="MezzanineConstructionLoanMonthlyInterestFixedRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_StockholdersEquityNoteDisclosureLineItems" name="StockholdersEquityNoteDisclosureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_SeniorUnsecuredRevolvingCreditFacilityMember" name="SeniorUnsecuredRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_MezzanineConstructionLoanMember" name="MezzanineConstructionLoanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_StateOfCaliforniaCAMember" name="StateOfCaliforniaCAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ConstructionLoanMonthlyInterestFixedRate" name="ConstructionLoanMonthlyInterestFixedRate" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_RepaymentsOfTermLoan" name="RepaymentsOfTermLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_SummaryOfRealEstateLoanReceivableTableTextBlock" name="SummaryOfRealEstateLoanReceivableTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_TwoThousandTwentyFourEquityIncentivePlanMember" name="TwoThousandTwentyFourEquityIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AboveMarketLeaseAmortizationIncomeYearFour" name="AboveMarketLeaseAmortizationIncomeYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedTenantImprovements" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedTenantImprovements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_VaJacksonvilleMember" name="VaJacksonvilleMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_StockRepurchaseProgramPercentageOfOutstandingSharesAuthorizedToBeRepurchased" name="StockRepurchaseProgramPercentageOfOutstandingSharesAuthorizedToBeRepurchased" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_DepartmentOfTreasuryMember" name="DepartmentOfTreasuryMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandTwentyFiveSeniorNoteAgreementMember" name="TwoThousandTwentyFiveSeniorNoteAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ExchangeOfCommonUnitsForSharesOfCommonStockAbstract" name="ExchangeOfCommonUnitsForSharesOfCommonStockAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DeferredAssetAcquisitionCostsAccruedButNotPaid" name="DeferredAssetAcquisitionCostsAccruedButNotPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTable" name="ScheduleOfFutureMinimumRentalPaymentsForOperatingLeasesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ExchangeOfNonControllingInterestInOperatingPartnership" name="ExchangeOfNonControllingInterestInOperatingPartnership" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_AmountIncurredOfLandParcelAcquired" name="AmountIncurredOfLandParcelAcquired" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_AboveMarketLeaseAmortizationIncomeYearTwo" name="AboveMarketLeaseAmortizationIncomeYearTwo" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredMarketLiabilities" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedDeferredMarketLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_DebtInstrumentMaturityDateMonthAndYear" name="DebtInstrumentMaturityDateMonthAndYear" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_TwoThousandSeventeenSeriesBSeniorNotesMember" name="TwoThousandSeventeenSeriesBSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AmortizationOfLeaseInducements" name="AmortizationOfLeaseInducements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_AboveMarketLeaseAmortizationIncomeNextTwelveMonths" name="AboveMarketLeaseAmortizationIncomeNextTwelveMonths" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_ChiefExecutiveOfficerAndChiefFinancialAndAccountingOfficerMember" name="ChiefExecutiveOfficerAndChiefFinancialAndAccountingOfficerMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CertainEntitiesControlledByChairmanMember" name="CertainEntitiesControlledByChairmanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InitialForwardPrice" name="InitialForwardPrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_OperatingPartnershipMember" name="OperatingPartnershipMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_OrganizationAndSignificantAccountingPoliciesTable" name="OrganizationAndSignificantAccountingPoliciesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandTwentyFourRevolvingCreditFacilityMember" name="TwoThousandTwentyFourRevolvingCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ScheduleOfRealEstateAndIntangibleAssetsTableTextBlock" name="ScheduleOfRealEstateAndIntangibleAssetsTableTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointSevenZeroPercentageFixedRateMember" name="InterestSwapRateAtThreePointSevenZeroPercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PerformanceBasedLTIPUnitsMember" name="PerformanceBasedLTIPUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PerformanceConditionMaximumSharePrice" name="PerformanceConditionMaximumSharePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_InterestRateSwapEffectiveJuneThirtyTwoThousandTwentyFiveMember" name="InterestRateSwapEffectiveJuneThirtyTwoThousandTwentyFiveMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_WhollyOwnedPropertiesUnderDevelopmentMember" name="WhollyOwnedPropertiesUnderDevelopmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CommonUnitDividendRatePercentage" name="CommonUnitDividendRatePercentage" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardValueOfSharesAvailableForGrant" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardValueOfSharesAvailableForGrant" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_TermLoanFacilityMember" name="TermLoanFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TenantReimbursementsMember" name="TenantReimbursementsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AssetManagementServiceRevenue" name="AssetManagementServiceRevenue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_ImmigrationAndCustomsEnforcementMember" name="ImmigrationAndCustomsEnforcementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_LineOfCreditFacilityAccordionFeatureAdditionalBorrowingCapacity" name="LineOfCreditFacilityAccordionFeatureAdditionalBorrowingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_DomesticGovernmentMember" name="DomesticGovernmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ProceedsFromTermLoan" name="ProceedsFromTermLoan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_PerformanceConditionPercentageEarnedAtThreshold" name="PerformanceConditionPercentageEarnedAtThreshold" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_PerformanceConditionThresholdSharePrice" name="PerformanceConditionThresholdSharePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_StateAndLocalGovernmentTenantsMember" name="StateAndLocalGovernmentTenantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DerivativeFloatingRateIndex" name="DerivativeFloatingRateIndex" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_SeniorUnsecuredNotesPayableMember" name="SeniorUnsecuredNotesPayableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandTwentyFiveSeriesBSeniorNotesMember" name="TwoThousandTwentyFiveSeriesBSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_SeniorUnsecuredCreditFacilityMember" name="SeniorUnsecuredCreditFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_VAGoldenMember" name="VAGoldenMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_MedBaseVentureMember" name="MedBaseVentureMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ReimbursementCostPaid" name="ReimbursementCostPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_CustomsAndBorderProtectionMember" name="CustomsAndBorderProtectionMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ServiceBasedLongTermIncentivePlanMember" name="ServiceBasedLongTermIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ContributionOfPropertyForCommonUnitsSharesIssued" name="ContributionOfPropertyForCommonUnitsSharesIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_BelowMarketLeasesAssumedMember" name="BelowMarketLeasesAssumedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_OperatingPropertiesMember" name="OperatingPropertiesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_GlobalInvestorMember" name="GlobalInvestorMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_OperatingPropertiesAndLandParcelAcquiredMember" name="OperatingPropertiesAndLandParcelAcquiredMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_FractionalSharesSettled" name="FractionalSharesSettled" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour" name="LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_IncreaseDecreaseInAllocationOfNonControllingInterestInOperatingPartnership" name="IncreaseDecreaseInAllocationOfNonControllingInterestInOperatingPartnership" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_NonGovernmentalTenantsMember" name="NonGovernmentalTenantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_SeriesBSeniorNotesMember" name="SeriesBSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ReimbursablePayrollExpensesInterestAndDefeasanceCostsDueFromRelatedParty" name="ReimbursablePayrollExpensesInterestAndDefeasanceCostsDueFromRelatedParty" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_ConstructionLoanMaturityDate" name="ConstructionLoanMaturityDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_SeniorNotesTerminatedAndSettledDate" name="SeniorNotesTerminatedAndSettledDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_MeasurementInputAveragePricePerSquareFootOfComparableSalesMember" name="MeasurementInputAveragePricePerSquareFootOfComparableSalesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_RegulatoryAssetsAbstract" name="RegulatoryAssetsAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_O2025Q2DividendsMember" name="O2025Q2DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_O2026Q1DividendsMember" name="O2026Q1DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_MezzanineConstructionLoanMaturityDate" name="MezzanineConstructionLoanMaturityDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_MortgagesPayableMember" name="MortgagesPayableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingDate" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardAwardVestingDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_VaBirminghamVaMariettaVaColumbusAndVaPhoenixMember" name="VaBirminghamVaMariettaVaColumbusAndVaPhoenixMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilitiesBelowMarketLeases" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilitiesBelowMarketLeases" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointEightFivePercentageFixedRateMember" name="InterestSwapRateAtThreePointEightFivePercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_RedemptionOfCommonUnitsToCommonStock" name="RedemptionOfCommonUnitsToCommonStock" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_NationalWeatherServiceMember" name="NationalWeatherServiceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_VariableMember" name="VariableMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_USFSIIAlbuquerqueMember" name="USFSIIAlbuquerqueMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_OperatingPropertiesDisposedMember" name="OperatingPropertiesDisposedMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ShareholdersEquityTable" name="ShareholdersEquityTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnrealizedGainLossOnInterestRateSwaps" name="UnrealizedGainLossOnInterestRateSwaps" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_NoncontrollingInterestInOperatingPartnershipMember" name="NoncontrollingInterestInOperatingPartnershipMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TheJudiciaryOfTheUnitedStatesGovernmentMember" name="TheJudiciaryOfTheUnitedStatesGovernmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_OperatingPropertiesAcquiredMember" name="OperatingPropertiesAcquiredMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ConstructionLoanAgreementMaximumLendingCapacity" name="ConstructionLoanAgreementMaximumLendingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_O2025Q1DividendsMember" name="O2025Q1DividendsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_LongTermIncentivePlanMember" name="LongTermIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandTwentyFiveSeriesASeniorNotesMember" name="TwoThousandTwentyFiveSeriesASeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_VabirminghamVamariettaAndVacolumbusMember" name="VabirminghamVamariettaAndVacolumbusMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PerformanceConditionBaselineSharePrice" name="PerformanceConditionBaselineSharePrice" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_DEAPleasantonMember" name="DEAPleasantonMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_FourPointThreeOnePercentageUnderUSDTermSOFRMember" name="FourPointThreeOnePercentageUnderUSDTermSOFRMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_GlenAllenVAMember" name="GlenAllenVAMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InternalRevenueServiceMember" name="InternalRevenueServiceMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_EnvironmentalProtectionAgencyMember" name="EnvironmentalProtectionAgencyMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AboveMarketLeaseAmortizationIncomeMaturityScheduleAbstract" name="AboveMarketLeaseAmortizationIncomeMaturityScheduleAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_LumpSumReimbursementsReceived" name="LumpSumReimbursementsReceived" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_RestrictedCommonStockMember" name="RestrictedCommonStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_VaCorpusChristiMember" name="VaCorpusChristiMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AccountingStandardUpdate201409Member" name="AccountingStandardUpdate201409Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CapitalAdditionsMadeToPropertyOperatingPropertiesAfterAcquisition" name="CapitalAdditionsMadeToPropertyOperatingPropertiesAfterAcquisition" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_TwoThousandTwentyFourSeriesASeniorNotesMember" name="TwoThousandTwentyFourSeriesASeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilities" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedIntangibleLiabilities" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_ShareholdersEquityLineItems" name="ShareholdersEquityLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestSwapRateAtThreePointSixSevenPercentageFixedRateMember" name="InterestSwapRateAtThreePointSixSevenPercentageFixedRateMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CashPaymentForFractionalShares" name="CashPaymentForFractionalShares" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_DerivativeInstrumentGainLossReclassifiedFromAociInToIncomeEffectivePortionStatementOfIncomeOrComprehensiveIncome" name="DerivativeInstrumentGainLossReclassifiedFromAociInToIncomeEffectivePortionStatementOfIncomeOrComprehensiveIncome" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_COVID19PandemicMember" name="COVID19PandemicMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_EarningsPerShareBasicAndDilutedLineItems" name="EarningsPerShareBasicAndDilutedLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ReclassificationOfReverseStockSplit" name="ReclassificationOfReverseStockSplit" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_UnconsolidatedRealEstateVentureLineItems" name="UnconsolidatedRealEstateVentureLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_VALomaLindaMember" name="VALomaLindaMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_TwoThousandNineteenSeriesASeniorNotesMember" name="TwoThousandNineteenSeriesASeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_RevolvingCreditFacilityTwoMember" name="RevolvingCreditFacilityTwoMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_FirstAmendmentToSecondAmendedAndRestatedSeniorCreditAgreementMember" name="FirstAmendmentToSecondAmendedAndRestatedSeniorCreditAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ConversionOfCommonUnitsToCommonStockMonetaryValue" name="ConversionOfCommonUnitsToCommonStockMonetaryValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_ConstructionLoanPaymentDescription" name="ConstructionLoanPaymentDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_DepartmentOfHomelandSecurityDhsMember" name="DepartmentOfHomelandSecurityDhsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnderwritersOptionToPurchaseAdditionalShares" name="UnderwritersOptionToPurchaseAdditionalShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_TwoThousandSeventeenSeriesCSeniorNotesMember" name="TwoThousandSeventeenSeriesCSeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedGross" name="BusinessCombinationRecognizedIdentifiableAssetsAcquiredAndLiabilitiesAssumedGross" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_TwoThousandTwentyOneSeriesASeniorNotesMember" name="TwoThousandTwentyOneSeriesASeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnamortizedExpense" name="UnamortizedExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_ExchangeOfCommonUnitsForSharesOfCommonStock" name="ExchangeOfCommonUnitsForSharesOfCommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_MezzanineConstructionLoanExtendedMaturityDate" name="MezzanineConstructionLoanExtendedMaturityDate" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_EarningsPerShareBasicAndDilutedTable" name="EarningsPerShareBasicAndDilutedTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AssetManagementFees" name="AssetManagementFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_UnvestedPerformanceBasedLongTermIncentivePlanMember" name="UnvestedPerformanceBasedLongTermIncentivePlanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AmortizationOfUnearnedRevenue" name="AmortizationOfUnearnedRevenue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_ContingentConsiderationAccruedNotPaid" name="ContingentConsiderationAccruedNotPaid" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_LeasedPropertyAverageAge" name="LeasedPropertyAverageAge" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_MezzanineConstructionLoanAgreementLendingCapacity" name="MezzanineConstructionLoanAgreementLendingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_TwoThousandEighteenTermLoanFacilityMember" name="TwoThousandEighteenTermLoanFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_SeriesASeniorNotesMember" name="SeriesASeniorNotesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_WeightedAverageNumberOfSharesOutstandingBasicAndDilutedAbstract" name="WeightedAverageNumberOfSharesOutstandingBasicAndDilutedAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PrincipalRepaymentOfSalesTypeLease" name="PrincipalRepaymentOfSalesTypeLease" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_SharesSettledInCash" name="SharesSettledInCash" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_TwoThousandNineteenATMProgramMember" name="TwoThousandNineteenATMProgramMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_AccountsReceivableNetRelatedToTenantConstructionProjects" name="AccountsReceivableNetRelatedToTenantConstructionProjects" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_AboveMarketLeaseAmortizationIncomeYearThree" name="AboveMarketLeaseAmortizationIncomeYearThree" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_TwoThousandSixteenTermLoanFacilityMember" name="TwoThousandSixteenTermLoanFacilityMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_PaymentInLieuOfTaxesMember" name="PaymentInLieuOfTaxesMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_UnrealizedGainLossOnTreasuryLocksAndInterestRateSwaps" name="UnrealizedGainLossOnTreasuryLocksAndInterestRateSwaps" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_NumberOfLandParcelAcquired" name="NumberOfLandParcelAcquired" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false"/>
  <xsd:element id="dea_CertainEntitiesControlledByViceChairmanMember" name="CertainEntitiesControlledByViceChairmanMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ICECharlestonMember" name="ICECharlestonMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_StockholdersEquityNoteDisclosureTable" name="StockholdersEquityNoteDisclosureTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_FederalBureauOfInvestigationMember" name="FederalBureauOfInvestigationMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_VABirminghamAndVAMariettaMember" name="VABirminghamAndVAMariettaMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_DebtInstrumentSecuredAccordionFeatureAdditionalBorrowingCapacity" name="DebtInstrumentSecuredAccordionFeatureAdditionalBorrowingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit"/>
  <xsd:element id="dea_HomelandSecurityInvestigationsMember" name="HomelandSecurityInvestigationsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_InterestRateSwap2Member" name="InterestRateSwap2Member" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CorporateGeneralAndAdministrativeExpense" name="CorporateGeneralAndAdministrativeExpense" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_FractionalSharesIssued" name="FractionalSharesIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_ReimbursementsAccountsReceivable" name="ReimbursementsAccountsReceivable" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit"/>
  <xsd:element id="dea_SecondAmendedPurchaseAndSaleAgreementMember" name="SecondAmendedPurchaseAndSaleAgreementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ServiceBasedLTIPUnitsMember" name="ServiceBasedLTIPUnitsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_CBPSavannahMember" name="CBPSavannahMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_GSABuffaloMember" name="GSABuffaloMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_RealEstateAndIntangiblesDisclosureTextBlock" name="RealEstateAndIntangiblesDisclosureTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false"/>
  <xsd:element id="dea_JVPartnerMember" name="JVPartnerMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true"/>
  <xsd:element id="dea_ConstructionLoanAgreementLendingCapacity" name="ConstructionLoanAgreementLendingCapacity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit"/>
</xsd:schema>
