Exhibit 32.1

                               AXA FINANCIAL, INC.

    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 on Form 10-K for the year ended December
31, 2004 of AXA Financial, Inc. (the "Company") as filed with the Securities and
Exchange Commission on the date hereof (the "Report"), I, Christopher M.
Condron, President and Chief Executive Officer of the Company, 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 Company.



                                  /s/ Christopher M. Condron
                                  ----------------------------------------------
                                  Christopher M. Condron
                                  President and Chief Executive Officer

Date:  March 31, 2005