010283.001479 Dallas 1468418.1
                                                                    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 Brigham Exploration Company (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, Ben M.
Brigham,  President,  Chief  Executive  Officer and Chairman of the Board 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  (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.


Dated:  May 14, 2003                          ________________________________
                                              Ben M. Brigham,
                                              President, Chief Executive Officer
                                              and Chairman of the Board