First Financial Bankshares (FFIN) 10-Q 2010 Q2 Quarterly report

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 June 30, 2010 of First Financial Bankshares, Inc.

I, J. Bruce Hildebrand, the Executive Vice President and Chief Financial Officer of the Issuer 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: July 28, 2010	By:	/s/ J. Bruce Hildebrand
		J. Bruce Hildebrand
		Chief Financial Officer

Subscribed and sworn to before me this 28th of July, 2010.

/s/ Gaila N. KilpatrickGaila N. Kilpatrick

Notary Public

My commission expires: April 15, 2013