FORM 6-K


                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D. C. 20549



                        Report of Foreign Private Issuer
                      Pursuant to Rule 13a-16 or 15d-16 of
                       the Securities Exchange Act of 1934

                         For the month of November 2004


                     NORDIC AMERICAN TANKER SHIPPING LIMITED
                 (Translation of registrant's name into English)

                                  Canon's Court
                               22 Victoria Street
                                 Hamilton HM 12
                                     Bermuda
                    (Address of principal executive offices)

         Indicate by check mark whether the registrant files or will file annual
reports under cover Form 20-F or Form 40-F.

                             Form 20-F  X   Form 40-F 
                                      -----          -----

         Indicate  by check  mark  whether  the  registrant  by  furnishing  the
information contained in this Form is also thereby furnishing the information to
the commission  pursuant to Rule 12g3-2(b) under the Securities  Exchange Act of
1934.

                                    Yes      No  X 
                                       -----   -----





INFORMATION CONTAINED IN THIS FORM 6-K REPORT

                  Attached  hereto as Exhibit  99.1 is a copy of the Bye-laws of
Nordic American Tanker Shipping Limited (the "Company") as of November 17, 2004.
Information  furnished on  this  Report  of  Foreign  Private  Issuer  on  Form 
6-K shall be  deemed  to be  incorporated  by reference as  Exhibit 3.2  in the 
Company's  Registration  Statement on Form F-3 (File No.  333-118128).










                                   SIGNATURES


                  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.


                                                NORDIC AMERICAN TANKER
                                                SHIPPING LIMITED
                                                (registrant)



Dated:  November 17, 2004                       By:/s/ Herbjorn Hansson
                                                    ----------------------------
                                                    Herbjorn Hansson
                                                    President and
                                                    Chief Executive Officer