Exhibit 99.1

                   Certification of Chief Executive Officer
               of GeoResources, Inc Pursuant to 18 U.S.C. 1350


     I, J. P. Vickers, certify that:

     In connection with the Quarterly Report on Form 10-Q of GeoResources,
Inc. (the "Company") for the period ended June 30, 2002 as filed with the
Securities and Exchange Commission on the date hereof (the "Report"), I,
J. P. Vickers, 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/  J. P. Vickers
                                       ------------------------------------
                                       J. P. Vickers
                                       Chief Executive Officer
                                       August 14, 2002