EXHIBIT 32.1

CERTIFICATION OF CHIEF EXECUTIVE OFFICER

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

AS ADOPTED PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Quarterly Report on Form 10-Q of Five Star Bancorp (the “Registrant”) for the period ended March 31, 2022, as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, James Beckwith, President & Chief Executive Officer of the Registrant, hereby certify pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that:

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

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

May 12, 2022	/s/ James Beckwith
Date	James Beckwith
	President & Chief Executive Officer