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

In connection with the Annual Report of First Acceptance Corporation on Form
10-K for the period ending June 30, 2005, as filed with the Securities and
Exchange Commission on September 12, 2005 (the "Report"), I, Stephen J.
Harrison, Chief Executive Officer of First Acceptance Corporation, 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; and

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

/s/ STEPHEN J. HARRISON
-------------------------------------
Stephen J. Harrison
Chief Executive Officer
September 13, 2005