Exhibit 32.1


                           Section 1350 Certification


     The undersigned, Bobby S. Shackouls, Chairman of the Board, President and
Chief Executive Officer of Burlington Resources Inc. ("Company"), hereby
certifies that the Annual Report of the Company on Form 10-K for the period
ended December 31, 2003 (the "Report") (1) fully complies with the requirements
of Section 13(a) 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 the results of operations of the Company.



                                      /S/ BOBBY S. SHACKOULS
                                      ------------------------------------------
Dated: February 26, 2004              Bobby S. Shackouls
                                      Chairman of the Board, President and Chief
                                      Executive Officer


     This certification shall not be deemed to be "filed" for the purpose of
Section 18 of the Securities Exchange Act of 1934, as amended, and will not be
incorporated by reference into any registration statement filed under the
Securities Act of 1933, as amended, unless specifically identified therein as
being incorporated therein by reference.

     A signed original of this written statement required by Section 906, or
other document authenticating, acknowledging, or otherwise adopting the
signature that appears in typed form within the electronic version of this
written statement required by Section 906, has been provided to Burlington
Resources Inc. and will be retained by Burlington Resources Inc. and furnished
to the Securities and Exchange Commission or its staff upon request.