EX-5.1

Exhibit 5.1

[Goodwin Procter LLP Letterhead]

We have acted as counsel to you in connection with your filing of a Registration Statement on Form S-3 (File No. 333-277434) (as amended or supplemented, the “Registration Statement”) filed on February 28, 2024 with the Securities and Exchange Commission (the “Commission”) pursuant to the Securities Act of 1933, as amended (the “Securities Act”), relating to the registration of the offering by Easterly Government Properties, Inc., a Maryland corporation (the “Company”), of any combination of securities of the types specified therein. The Registration Statement became automatically effective upon filing with the Commission on February 28, 2024.

Reference is made to our opinion letter dated February 28, 2024 and included as Exhibit 5.1 to the Registration Statement. We are delivering this supplemental opinion letter in connection with the prospectus supplement (the “Prospectus Supplement”) filed on February 28, 2024 by the Company with the Commission pursuant to Rule 424 under the Securities Act. The Prospectus Supplement relates to the offering by the Company of up to $80,558,018 in shares (the “Shares”) of the Company’s common stock, par value $0.01 per share (“Common Stock”), covered by the Registration Statement and being offered and sold pursuant to (i) the equity distribution agreements by and among the Company, Easterly Government Properties LP, a Delaware limited partnership, and each of Citigroup Global Markets Inc., BMO Capital Markets Corp., BTIG, LLC, Jefferies LLC, Raymond James & Associates, Inc., RBC Capital Markets, LLC, Truist Securities, Inc. (f/k/a SunTrust Robinson Humphrey, Inc.) and Wells Fargo Securities, LLC, each as a sales agent and/or principal, each of Citigroup Global Markets Inc., BMO Capital Markets Corp., Jefferies LLC, Nomura Securities International, Inc., Raymond James & Associates, Inc., RBC Capital Markets, LLC, Truist Securities, Inc. and Wells Fargo Securities, LLC, each as a forward seller, and each of Citibank N.A., Bank of Montreal, Jefferies LLC, Raymond James & Associates, Inc., Royal Bank of Canada, Truist Bank and Wells Fargo Bank, National Association, each as a forward purchaser (the “Distribution Agreements”) and (ii) the master forward confirmations by and between the Company and each of Citibank N.A., Bank of Montreal, Jefferies LLC, Nomura Global Financial Products, Inc., Raymond James & Associates, Inc., Royal Bank of Canada and Wells Fargo Bank, National Association (the “Master Forward Confirmations”).

We have reviewed such documents and made such examination of law as we have deemed appropriate to give the opinion set forth below. We have relied, without independent

Easterly Government Properties, Inc.

February 28, 2024

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verification, on certificates of public officials and, as to matters of fact material to the opinion set forth below, on certificates of officers of the Company.

For purposes of the opinion set forth below, we have assumed that the Shares are issued for a price per share equal to or greater than the minimum price authorized by the Company’s board of directors prior to the date hereof (the “Minimum Price”) and that no event occurs that causes the number of authorized shares of Common Stock available for issuance by the Company to be less than the number of then unissued Shares that may be issued for the Minimum Price.

Based on the foregoing, we are of the opinion that the Shares have been duly authorized and, when issued, delivered and paid for in accordance with the Equity Distribution Agreements and the Master Forward Confirmations (and related supplemental confirmations), as applicable, and in exchange for a price per share equal to or greater than the Minimum Price (or, in the case of the Master Forward Confirmations (and related supplemental confirmations), in net share settlement thereof), will be validly issued, fully paid and nonassessable.

This supplemental opinion letter and the opinion it contains shall be interpreted in accordance with the Core Opinion Principles as published in 74 Business Lawyer 815 (Summer 2019).

We hereby consent to the inclusion of this opinion as Exhibit 5.1 to the Company’s Current Report on Form 8-K dated February 28, 2024, which is incorporated by reference into the Registration Statement and to the references to our firm under the caption “Legal Matters” in the Registration Statement and Prospectus Supplement. In giving our consent, we do not admit that we are in the category of persons whose consent is required under Section 7 of the Securities Act or the rules and regulations thereunder.