EXHIBIT 99.1

                           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 of Remington Oil and Gas
Corporation (the "Company") on Form 10-Q for the period ending March 31, 2003,
as filed with the Securities and Exchange Commission on the date hereof (the
"Report"), I, James A. Watt, 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; and

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

     This certification is made solely for the purpose of 18 U.S.C. Section
1350, and not for any other purpose.

                                                   /s/ JAMES A. WATT
                                          --------------------------------------
                                                      James A. Watt
                                          President and Chief Executive Officer

May 2, 2003

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

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