8-K

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                                  UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

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                                    FORM 8-K

                                 CURRENT REPORT

     Pursuant to Section 13 or 15(d) of the Securities Exchange Act of 1934

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       Date of Report (Date of earliest event reported): November 4, 2003

                           BRIGHAM EXPLORATION COMPANY
             (Exact name of registrant as specified in its charter)

           Delaware                    000-22433               75-2692967
 (State or other jurisdiction         (Commission            (IRS Employer
       of incorporation)              File Number)         Identification No.)

                            6300 Bridgepoint Parkway
                             Building Two, Suite 500
                               Austin, Texas 78730
          (Address, including zip code, of principal executive offices)

       Registrant's telephone number, including area code: (512) 427-3300

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Item 7. Financial Statements and Exhibits.

      (c)   Exhibit 99.1 Press release dated November 4, 2003.

Item 12. Regulation FD Disclosure.

      Registrant is furnishing its press release dated November 4, 2003, which
announces the Registrant plans to force convert Series A preferred stock
warrants. The text of the press release is furnished as attached hereto as
Exhibit 99.1.

                                    SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the
Registrant has duly caused this report to be signed on its behalf by the
undersigned thereunto duly authorized.

                                                  BRIGHAM EXPLORATION COMPANY

Date: November 4, 2003                            By: /s/ Eugene B. Shepherd, Jr
                                                      --------------------------
                                                  Eugene B. Shepherd, Jr.
                                                  Executive Vice President &
                                                  Chief Financial Officer


                                       2


                                INDEX TO EXHIBITS

Item Number       Exhibit
- -----------       -------

99.1*             Press Release dated November 4, 2003

EX-99.1

                                                                    Exhibit 99.1

     Brigham Exploration Announces Plans to Force Convert Series A Warrants

    AUSTIN, Texas, Nov. 4 /PRNewswire-FirstCall/ -- Brigham Exploration
Company (Nasdaq: BEXP) announced today that it has notified CSFB Private
Equity that it will exercise its right to require CSFB to exercise its
warrants to purchase 6.7 million shares of Brigham common stock.  In
connection with this exercise, Brigham will retire $20 million of its Series A
mandatorily redeemable preferred stock.

    WARRANT EXERCISE
    The warrants were issued in connection with Brigham's sale of $20 million
of Series A preferred stock to CSFB in November 2000. Brigham can require CSFB
to exercise the warrants if the average price of Brigham's common stock trades
above $5.00 per share each day for 60 consecutive days.  CSFB can use either
$20 million in cash or $20 million of Series A preferred stock to exercise the
warrants.  In the event CSFB uses cash, Brigham will be required to retire a
like amount of Series A preferred.  Brigham will receive no additional
proceeds from the exercise of the warrants.  The 6.7 million shares issued
upon the exercise of the warrants have not been registered under the
Securities Act of 1933.  Subsequent to the exercise, Brigham will have
approximately 34.6 million shares of common shares outstanding.  Brigham
expects the warrant exercise to be completed by mid November 2003.

    MANAGEMENT COMMENTS
    Gene Shepherd, Brigham's Chief Financial Officer, commented, "Over the
last several years we've significantly deleveraged our balance sheet.  By
converting the 6.7 million warrants, and thus the first tranche of the CSFB
preferred stock, we've again substantially reduced our corporate debt
leverage.  Furthermore, this conversion will free up additional capital that
can be put to work creating reserve value for our shareholders, as we will no
longer be paying a dividend on the Series A preferred with a $20 million
liquidation value.  The dividend, which has historically equated to
$1.6 million per year, can also be viewed as a reduction to the Brigham cost
structure."

    About Brigham Exploration
    Brigham Exploration Company is a leading independent exploration and
production company that applies 3-D seismic imaging and other advanced
technologies to systematically explore and develop onshore domestic natural
gas and oil provinces. For more information about Brigham Exploration, please
visit our website at www.bexp3d.com or contact Investor Relations at
512-427-3444.

    Forward Looking Statement Disclosure
    Except for the historical information contained herein, the matters
discussed in this news release are forward looking statements within the
meaning of the Private Securities Litigation Reform Act of 1995 that are based
upon current expectations. Important factors that could cause actual results
to differ materially from those in the forward looking statements include
risks inherent in exploratory drilling activities, the timing and extent of
changes in commodity prices, unforeseen engineering and mechanical or
technological difficulties in drilling wells, availability of drilling rigs,
land issues, federal and state regulatory developments and other risks more
fully described in the company's filings with the Securities and Exchange
Commission. All forward looking statements contained in this release,
including any forecasts and estimates, are based on management's outlook only
as of the date of this release, and we undertake no obligation to update or
revise these forward looking statements, whether as a result of subsequent
developments or otherwise.

    Contact: John Turner, Manager of Finance & Investor Relations
             (512) 427-3300

SOURCE  Brigham Exploration Company
    -0-                             11/04/2003
    /CONTACT:  John Turner, Manager of Finance & Investor Relations of Brigham
Exploration Company, +1-512-427-3300/
    /Web site:  http://www.bexp3d.com/
    (BEXP)
CO:  Brigham Exploration Company
ST:  Texas
IN:  OIL
SU: