EXHIBIT 32.1



                            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 Annual Report of Remington Oil and Gas Corporation (the
"Company") on Form 10-K for the period ending December 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.


                                         /s/ James A. Watt
                                         ---------------------------------------
                                         James A. Watt
                                         President and Chief Executive Officer
March 11, 2004

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

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.