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  Quarterly  Report  on Form 10-Q for the  quarter
ended March 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: May 14, 2004