Exhibit 32.1

                CERTIFICATION OF PERIODIC REPORT


I, Mark G. Papa, Chairman of the Board and Chief Executive
Officer of EOG Resources, Inc., a Delaware Corporation (the
"Company"), certify, pursuant to Section 906 of the Sarbanes-
Oxley Act of 2002, 18 U.S.C. Section 1350, that:

     (1)  the Quarterly Report on Form 10-Q of the Company for
     the quarterly period ended September 30, 2003 (the "Report")
     fully complies with the requirements of Section 13(a) or
     15(d) of the Securities Exchange Act of 1934 (15 U.S.C. 78m
     or 78o(d)); and

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

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

Dated: November 6, 2003



                                   /s/ MARK G. PAPA
                                       Mark G. Papa
                                  Chairman of the Board and
                                   Chief Executive Officer