POWER OF ATTORNEY
                         For Executing Forms 3, 4 and 5

         Know all by these presents, that the undersigned hereby constitutes and
appoints each of David T. Brigham and Eric Sigsbey, signing singly, as the
undersigned's true and lawful attorney-in-fact to:

         (1)      execute for and on behalf of the undersigned, in the
                  undersigned's capacity as an officer and/or director of
                  Brigham Exploration Company (the "Company"), Forms 3, 4 and 5
                  in accordance with Section 16(a) of the Securities Exchange
                  Act of 1934, and the rules promulgated thereunder;

         (2)      do and perform any and all acts for and on behalf of the
                  undersigned which may be necessary or desirable to complete
                  and execute any such Form 3, 4 or 5 and timely file such form
                  with the United States Securities and Exchange Commission and
                  any stock exchange or similar authority; and

         (3)      take any other action of any type whatsoever in connection
                  with the foregoing which, in the opinion of such
                  attorney-in-fact, may be of benefit to, in the best interest
                  of, or legally required by, the undersigned, it being
                  understood that the documents executed by such
                  attorney-in-fact on behalf of the undersigned pursuant to this
                  Power of Attorney shall be in such form and shall contain such
                  terms and conditions as such attorney-in-fact may approve in
                  her or his discretion.

         The undersigned hereby grants to each such attorney-in-fact full power
and authority to do and perform any and every act and thing whatsoever
requisite, necessary or proper to be done in the exercise of any of the rights
and powers herein granted, as fully to all intents and purposes as the
undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or her or his substitute or substitutes, shall lawfully do or
cause to be done by virtue of this Power of Attorney and the rights and powers
herein granted. The undersigned acknowledges that the foregoing
attorneys-in-fact, in serving in such capacity at the request of the
undersigned, are not assuming, nor is the Company assuming, any of the
undersigned's responsibilities to comply with Section 16 of the Securities
Exchange Act of 1934.

         This Power of Attorney shall remain in full force and effect until the
undersigned is no longer required to file Forms 3, 4 and 5 with respect to the
undersigned's holdings of and transactions in securities relating to the
Company, unless earlier revoked by the undersigned in a signed writing delivered
to the foregoing attorneys-in-fact.

         IN WITNESS WHEREOF, the undersigned has caused this Power of Attorney
to be executed as of this 14th day of December, 2007.



                                                Scott W. Tinker
                                                ---------------