Exhibit 32.1

CERTIFICATION OF PRINCIPAL EXECUTIVE OFFICER

Pursuant to Section 906 of the Sarbanes-Oxley Act of 2002

Pursuant to 18 U.S.C. § 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, the undersigned officer of Peakstone Realty Trust (the “Company”), in connection with the Company’s Annual Report on Form 10-K for the period ended December 31, 2023 (the “Report”), hereby certifies that:

(i)the Report fully complies with the requirements of Section 13(a) or Section 15(d) of the Securities Exchange Act of 1934, as amended; and

(ii)the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated:	February 22, 2024	By:	/s/ Michael J. Escalante
			Michael J. Escalante
			Chief Executive Officer and President
			(Principal Executive Officer)