Exhibit 32.1

CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

I, J. Scott Wolchko, President and Chief Executive Officer of Fate Therapeutics, Inc. (the “Registrant”), do hereby certify in accordance with 18 U.S.C. 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that, based upon my knowledge:

(1)this Annual Report on Form 10-K of the Registrant, to which this certification is attached as an exhibit (the “Report”), fully complies with the requirements of Section 13(a) or 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m); and

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

Date: February 26, 2024	/s/ J. Scott Wolchko
	J. Scott Wolchko
	President and Chief Executive Officer
	(Principal Executive Officer)