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 March 2005


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

                                  Canons 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

     The Company was a "Passive  Foreign  Investment  Company"  during 2004. Set
forth  herein is a copy of a letter  from the  Company  dated  March  17,  2005,
containing  certain  information  relating to the Company's status as a "Passive
Foreign  Investment  Company"  for  those  shareholders  who  elect to treat the
Company as a  "qualifying  electing  fund" or "QEF" for United States income tax
purposes.






                                Nordic American
                            Tanker Shipping Limited


                                                                  March 17, 2005


TO:    The Shareholders of Nordic
       American Tanker Shipping Limited
       That Are United States Taxpayers


          As you are aware, Nordic American Tanker Shipping Limited ("Nordic
American") was a "Passive Foreign Investment Company" ("PFIC") for United States
federal income tax purposes during 2004. The following is a PFIC annual
information statement for the taxable year of Nordic American beginning on
January 1, 2004 and ending on December 31, 2004. This statement is being
provided so that you may report your pro rata share of Nordic American's income
in the event that you have elected to treat Nordic American as a "qualified
electing fund" ("QEF") under the applicable provisions of the United States
Internal Revenue Code.

          You should keep this statement in your records but do not need to
attach this statement to your IRS Form 8621, "Return by a Shareholder of a
Passive Foreign Investment Company or Qualified Electing Fund". In order to
assist you in completing Form 8621, the address of Nordic American is: Canon's
Court, 22 Victoria Street, Hamilton HM 12, Bermuda.



                        PFIC Annual Information Statement

1. This Information Statement applies to the taxable year of Nordic American
Tanker Shipping Limited ("Nordic American") beginning on January 1, 2004 and
ending on December 31, 2004 (the "Taxable Year").

2.   (i)  Your pro rata share of the ordinary earnings of Nordic American for
          the Taxable Year may be determined as follows:

          (a)  If you owned the same number of Nordic American shares from
               January 1, 2004 through December 31, 2004, multiply the number of
               such Nordic American shares by $3.778180.

          (b)  If you did not own Nordic American shares for the entire period
               beginning January 1, 2004 and ending December 31, 2004, (1)
               multiply the number of shares that you owned during the period
               beginning on January 1, 2004 and ending on October 27, 2004 by
               $0.010629, and multiply the result by the number of days during
               the period beginning on January 1, 2004 and ending on October 27,
               2004 that you held such shares; (2) multiply the number of shares
               that you owned during the period beginning on October 28, 2004
               and ending on November 22, 2004 by $0.010421, and multiply the
               result by the number of days during the period beginning on
               October 28, 2004 and ending on November 22, 2004 that you held
               such shares; (3) multiply the number of shares that you owned
               during the period beginning on November 23, 2004 and ending on
               December 31, 2004 by $0.007895, and multiply the result by the
               number of days during the period beginning on November 23, 2004
               and ending on December 31, 2004 that you held such shares, and
               (4) add the results obtained in (1), (2) and (3) above.(1)

          (c)  If you owned different numbers of Nordic American shares at
               different times during 2004, perform the calculation specified in
               (b) above separately for each lot of shares owned.

     (ii) Your pro rata share of the net capital gain of Nordic American for the
          Taxable Year is zero.

3. The amount of cash and the fair market value of other property distributed or
deemed distributed by Nordic American during the Taxable Year is as follows:

               Cash:  See note(2)

               Fair Market Value of Property:  0

4. Nordic American will permit you to inspect and copy Nordic American's
permanent books of account, records, and such other documents as may be
maintained by Nordic American to establish that Nordic American's ordinary
earnings and net capital gain are computed in accordance with U.S. income tax
principles and to verify these amounts and your pro rata shares thereof.

                                              NORDIC AMERICAN TANKER
                                              SHIPPING LIMITED

Date:  March 17, 2005                         By: /s/ Herbjorn Hansson
       --------------                         -------------------------
                                              Name:    Herbjorn Hansson
                                              Title:   Chairman

THIS INFORMATION IS PROVIDED IN ORDER TO ASSIST THOSE SHAREHOLDERS WHO HAVE MADE
A QEF ELECTION WITH RESPECT TO NORDIC AMERICAN IN MAKING CERTAIN PFIC
CALCULATIONS AND DOES NOT CONSTITUTE TAX ADVICE. THOSE SHAREHOLDERS ARE ADVISED
TO CONSULT THEIR OWN TAX ADVISORS CONCERNING THE OVERALL TAX CONSEQUENCES OF THE
OWNERSHIP OF COMMON SHARES ARISING IN THEIR OWN PARTICULAR SITUATIONS UNDER
UNITED STATES FEDERAL, STATE, LOCAL OR FOREIGN LAW.

----------
1    For example, if you acquired 100 shares on July 1, 2004 and held them
     throughout the remainder of 2004, your pro rata share of Nordic American's
     ordinary earnings would be $184.37 (i.e., 100 x $0.010629 x 119, plus 100 x
     $0.010421 x 26, plus 100 x $0.007895 x 39).

2    On February 16, 2004, Nordic American made a distribution of $1.15 per
     share to shareholders of record on January 27, 2004. On May 17, 2004,
     Nordic American made a distribution of $1.70 per share to shareholders of
     record on April 29, 2004. On August 17, 2004, Nordic American made a
     distribution of $0.88 per share to shareholders of record on July 29, 2004.
     On November 19, 2004, Nordic American made a distribution of $1.11 per
     share to shareholders of record on October 29, 2004. The total amount of
     the distributions exceeded the sum of Nordic American's earnings and
     profits for the Taxable Year and Nordic American's earnings and profits
     accumulated in prior years. Accordingly, 80.01% of each distribution is a
     dividend, and 19.99% of each distribution is a return of capital.





                                   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:  March 17, 2005                        By: /s/ Herbjorn Hansson
                                              -------------------------------
                                                      Herbjorn Hansson
                                                      President and
                                                      Chief Executive Officer










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