EXHIBIT 99.2

                            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, Eugene
B.  Shepherd,  Jr.,  Senior  Vice  President  and Chief Financial 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 (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                          ________________________________
                                              Eugene B. Shepherd, Jr.
                                              Senior Vice President
                                              and Chief Financial Officer