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 October 2004


                     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

     Attached hereto are copies of dividend and earnings releases issued by
Nordic American Tanker Shipping Limited (the "Company") on October 14, 2004,
announcing its fourth quarter dividend payment and third quarter earnings.

ADDITIONAL INFORMATION

     BP Plc files annual reports on Form 20-F (File No. 1-6262) and periodic
reports on Form 6-K with the Securities and Exchange Commission pursuant to the
Securities Exchange Act of 1934, as amended.





Exhibit 1
---------

FOR IMMEDIATE RELEASE

Nordic American  Tanker  Shipping Ltd.
(NAT) - (AMEX: NAT) (OSE: NAT) announces results for 3rd quarter 2004.
----------------------------------------------------------------------

Hamilton,  Bermuda,  October 14, 2004. Nordic American Tanker Shipping Ltd. (the
"Company")  today  announced its results for the 3rd quarter of 2004. The tanker
market was  significantly  stronger  in the 3rd  quarter of 2004 than in the 2nd
quarter of 2004 as  reflected in the  Company's  enhanced  dividend  payment and
operating  results as described  below.  At the  beginning of the 4th quarter of
this year, the market has improved further.

For the period ending September 30, 2004, the Company had an operating profit of
$33.4 million as compared to $19.8 million during the same period last year. Net
profit was $32.0  million as compared  to $18.5  million in the same period last
year.  The increase in earnings in 2004 compared to the same period in year 2003
is a result of the higher tanker spot market this year.

The  results for the 3rd quarter of 2004 enable the Company to pay a 4th quarter
2004  dividend of $1.11 per share which is 26.1% higher than for the 3rd quarter
of 2004.  Including the dividend for the 4th quarter of 2004, the total dividend
to be paid in 2004 is $4.84 per  share.  The total  dividends  paid in 2003 were
$3.05.  The 4th quarter dividend of $1.11 will be paid on or about November 19th
2004 to shareholders of record as of October 29, 2004. The next dividend payment
is expected to be declared in January 2005 for payment in February 2005.

The spot market for modern Suezmax  tankers in the 3rd quarter of 2004 was above
the agreed  minimum rate provided by the Company's  bareboat  charter  contracts
with BP  Shipping.  The 3rd  quarter  2004 time  charter  equivalent  (TCE) rate
achieved by the Company's vessels was $55,742 per day compared to $43,255 in the
2nd  quarter of 2004,  $72,287 in the 1st quarter of 2004 and $51,501 in the 4th
quarter of 2003.

The bareboat charter  contracts with BP Shipping  commenced in October 1997. Two
of those contracts have now expired with the redelivery by BP Shipping of two of
the  Company's  vessels on September 13 and October 6, 2004,  respectively.  The
Company and BP Shipping have continued their  relationship with new time charter
contracts for those two vessels.  The terms of those time charter  contracts are
described below.

The TCE in USD per day earned by the  Company's  vessels since 1999, by calendar
quarter, has been as follows:

Period           1999     2000     2001     2002      2003      2004
------------------------------------------------------------------------
1st Quarter     22,000   26,079   51,607   22,000    57,756    72,287
2nd Quarter     22,000   33,701   35,088   22,000    38,291    43,255
3rd Quarter     22,000   48,153   28,668   22,000    23,243    55,742
4th Quarter     22,000   59,059   22,617   33,868    51,501

The  results as of  September  30,  2004  compared  to the same period last year
(unaudited) are as follows:

INCOME STATEMENT INFORMATION
All figures in USD
                       01/01 - 09/30  01/01 -  09/30   3rd Qtr.    3rd Qtr.
                             2004         2003           2004        2003
--------------------------------------------------------------------------
  Revenue                39,963,680   25,502,450   13,061,794   4,070,322
  Ship Broker              (148,422)    (138,206)     (56,284)    (46,575)
  Commissions
  Vessel Operating         (110,500)           0     (110,500)          0
  Expenses
  Management Fee           (150,000)    (187,500)     (25,000)    (62,500)
  Expense
  Insurance                 (79,998)     (75,000)     (26,666)    (25,000)
  Expense
  Reorg. charges/Other     (969,421)    (111,119)    (432,660)    (26,118)
  Expenses
  Depreciation           (5,123,280)  (5,123,280)  (1,707,760) (1,707,760)
  ------------------------------------------------------------------------
  Net Operating Income   33,382,059   19,867,345   10,702,924   2,202,369

  Financial                  41,849       19,975       14,290       8,280
  Income
  Financial              (1,398,690)  (1,351,496)    (516,485)   (444,447)
  Expenses
  ------------------------------------------------------------------------
  Net Financial Items    (1,356,841)  (1,331,521)    (502,195)   (436,167)
  ------------------------------------------------------------------------
  Net Profit             32,025,218   18,535,824   10,200,729   1,766,202
  ------------------------------------------------------------------------

  Earnings per Share           3.30         1.91         1.05        0.18

  Cash Flow per Share          3.83         2.44         1.23        0.36

The Company has 9,706,606 shared issued and outstanding.

The quarterly  dividend paid since the  commencement of trading of the Company's
shares in 1997 has been as follows:

Period         1997    1998    1999    2000    2001     2002    2003    2004
----------------------------------------------------------------------------
1st Quarter            0.40    0.32    0.34    1.41     0.36    0.63    1.15
2nd Quarter            0.41    0.32    0.45    1.19     0.34    1.27    1.70
3rd Quarter            0.32    0.35    0.67    0.72     0.33    0.78    0.88
4th Quarter    0.30    0.30    0.36    1.10    0.55     0.32    0.37    1.11
----------------------------------------------------------------------------
Total USD      0.30    1.43    1.35    2.56    3.87     1.35    3.05    4.84
----------------------------------------------------------------------------

Balance  sheet data for the Company as of  September  30, 2004 and  December 31,
2003 (figures in USD) (unaudited) are set forth below:

                          09/30/04                12/31/03
                          --------                --------
Vessels                 122,958,645              128,081,925
Current assets           10,057,909                8,248,449
Cash deposits               567,536                  565,924
--------------------------------------------------------------------
Total assets            133,584,090              136,896,298
--------------------------------------------------------------------

Shareholder's equity    102,580,201              106,857,976
Long term debt           30,000,000               30,000,000
Current liabilities       1,003,889                   38,322
--------------------------------------------------------------------

Total liabilities
  & equity              133,584,090              136,896,298

As previously announced by the Company, BP Shipping did not exercise its options
to extend  the  original  bareboat  charters  for the  Company's  three  Suezmax
tankers.  Accordingly,  the original  bareboat charters for two of the Company's
vessels  expired on  September  13 and  October 6, 2004,  respectively,  when BP
Shipping  redelivered those vessels.  The two vessels continue to BP Shipping on
time charter contracts with a period of three years at spot market related rates
in direct continuation from the expired contracts. Our third ship is expected to
be  redelivered by BP Shipping in  mid-November  at which time it is expected to
commence a five-year bareboat charter contract with Gulf Navigation, Dubai.

With the two vessels on time charter to BP  Shipping,  the Company has become an
operating  company.  With  the  spot  market  related  income  from the two time
chartered vessels, plus the fixed income from the bareboat chartered vessel, the
Company's  fleet is configured in order to maintain  consistent cash flows while
taking advantage of current strong spot market rates.

Under the new time charter contracts with BP Shipping, the Company will have the
responsibility  of  providing  the crew and of  operating  and  maintaining  the
vessels.  These functions have been outsourced to IUM Shipmanagement,  Norway, a
first class  technical  manager of high  reputation.  As the Company has assumed
responsibility  for the operation of the two ships,  quality and cost  effective
operations will be the prime focus.

The management of the Company intends to charter the ships in a manner that will
allow the Company to cease being  classified  as a "Passive  Foreign  Investment
Company" for US Tax  purposes.  This means that under  current  law,  qualifying
dividends,  which  will  be  available  to  our  non-corporate  US  Shareholders
commencing in 2006,  are expected to be taxed at a maximum United States federal
income rate of 15%, rather that the current maximum rate of 35 %.

For the foreseeable  future,  the Company's Board intends to continue its policy
of maintaining a low debt to equity ratio and of  prioritizing a dividend policy
essentially  as in the past.  This policy allows the Company's  shareholders  to
participate in the tanker charter market.

            CAUTIONARY STATEMENT REGARDING FORWARD-LOOKING STATEMENTS

Matters   discussed  in  this  press  release  may  constitute   forward-looking
statements.  The Private Securities  Litigation Reform Act of 1995 provides safe
harbor  protections  for  forward-looking   statements  in  order  to  encourage
companies   to   provide   prospective   information   about   their   business.
Forward-looking  statements  include  statements  concerning plans,  objectives,
goals, strategies,  future events or performance, and underlying assumptions and
other statements, which are other than statements of historical facts.

The  Company  desires to take  advantage  of the safe harbor  provisions  of the
Private  Securities  Litigation  Reform  Act  of  1995  and  is  including  this
cautionary statement in connection with this safe harbor legislation.  The words
"believe," "except," "anticipate," "intends," "estimate," "forecast," "project,"
"plan,"  "potential,"  "will," "may,"  "should,"  "expect"  "pending and similar
expressions identify forward-looking statements.

The  forward-looking  statements  in this press  release are based upon  various
assumptions,  many of which  are  based,  in  turn,  upon  further  assumptions,
including  without  limitation,   our  management's  examination  of  historical
operating  trends,  data  contained in our records and other data available from
third parties.  Although we believe that these  assumptions were reasonable when
made,   because  these   assumptions  are  inherently   subject  to  significant
uncertainties and contingencies which are difficult or impossible to predict and
are beyond our control,  we cannot assure you that we will achieve or accomplish
these expectations, beliefs or projections.

In addition to these important  factors,  other  important  factors that, in our
view,  could cause actual results to differ  materially  from those discussed in
the  forward-looking  statements  include the  strength of world  economies  and
currencies,  general market conditions,  including fluctuations in charter rates
and  vessel  values,  changes  in demand in the  tanker  market,  as a result of
changes in OPEC's petroleum production levels and world wide oil consumption and
storage, changes in our operating expenses,  including bunker prices, drydocking
and insurance costs,  the market for our vessels,  availability of financing and
refinancing,  changes in governmental  rules and regulations or actions taken by
regulatory  authorities,  potential liability from pending or future litigation,
general domestic and international political conditions, potential disruption of
shipping  routes due to accidents or political  events,  vessels  breakdowns and
instances of off-hire and other important factors described from time to time in
the reports filed by the Company with the  Securities  and Exchange  Commission,
including our Annual Report on Form 20-F.

Contacts:
              Scandic American Shipping Ltd
              Manager for
              Nordic American Tanker Shipping Ltd.
              P.O Box 56
              3201 Sandefjord, Norway
              E-mail:  nat@scandicamerican.com
              Web site: www.nat.bm

              Rolf Amundsen
              Chief Financial Officer
              Nordic American Tanker Shipping Ltd.
              Tel: +1 800 601 9079 or + 47 908 26 906

              Gary J. Wolfe, Esq.
              Seward & Kissel LLP, New York, NY
              Tel: +1 212  574 1223

              Herbj0rn Hansson
              Chairman & CEO
              Nordic American Tanker Shipping Ltd.
              Tel:  +1 866 805 9504 or + 47 901 46 291




                                   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:  October 14, 2004                 By:/s/ Herbjorn Hansson
                                           ----------------------------
                                                Herbjorn Hansson
                                                President and
                                                Chief Executive Officer




01318.0002 #518114