EXHIBIT 32.1


                     Certification of Periodic Financial Report
                          Pursuant to 18 U.S.C. Section 1350

    For purposes of 18 U.S.C. Section 1350, as adopted pursuant to Section 906
of the Sarbanes-Oxley Act of 2002, the undersigned, Lee R. Raymond, the chief
executive officer of Exxon Mobil Corporation (the "Company"), hereby certifies
that, to his knowledge:

    (i)  the Quarterly Report on Form 10-Q of the Company for the quarter
    ended June 30, 2003, as filed with the Securities and Exchange Commission
    on the date hereof (the "Report") fully complies with the requirements of
    section 13(a) or 15(d) of the Securities Exchange Act of 1934; and

    (ii) the information contained in the Report fairly presents, in all
    material respects, the financial condition and results of operations of
    the Company.

Date: August 13, 2003
                                         /s/ Lee R. Raymond
                                       _______________________________
                                       Lee R. Raymond
                                       Chief Executive Officer




A signed original of this written statement required by Section 906 has been
provided to Exxon Mobil Corporation and will be retained by Exxon Mobil
Corporation and furnished to the Securities and Exchange Commission or its
staff upon request.