Exhibit 32.2

Certification of

Chief Financial Officer

of First Financial Bankshares, Inc.

This certification is provided pursuant to Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code) and accompanies the quarterly report on Form 10-Q (the “Form 10-Q”) for the quarter ended September 30, 2022 of First Financial Bankshares, Inc. (the “Company”).

I, James R. Gordon, the Executive Vice President and Chief Financial Officer, Secretary and Treasurer of the Company, certify that:

1. the Form 10-Q fully complies with the requirements of section 13(a) or section 15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m(a) or 78o(d)); and

2. the information contained in the Form 10-Q fairly presents, in all material respects, the financial condition and results of operations of the Company.

Dated: November 2, 2022

By:	/s/ James R. Gordon
	James R. Gordon
	Executive Vice President and Chief
	Financial Officer, Secretary and Treasurer

Subscribed and sworn to before me this 2nd day of November, 2022.

/s/ Melissa Ann Fenton

Melissa Ann Fenton

Notary Public

My commission expires: October 11, 2024