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 2006

                 (Translation of registrant's name into English)

                                   Reid House
                                31 Church Street
                                 Hamilton HM FX
                    (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

                          Yes [_]           No [X]


     Attached  hereto  as  Exhibit 1 is a copy of the  press  release  issued by
Nordic  American  Tanker  Shipping  Limited  (the  "Company")  on March 9, 2006,
announcing the pricing of its follow-on offering.

Exhibit 1

Nordic American Tanker Shipping Ltd. (NAT)-(NYSE:NAT)
Announces pricing of follow-on offering.

Hamilton, Bermuda, March 9, 2006

Nordic American  Tanker  Shipping Ltd. (the "Company")  today announced that its
follow-on  offering  of  3,750,000  common  shares has been priced at $28.50 per
share. The common shares are being offered  pursuant to the Company's  effective
shelf registration  statement.  Bear, Stearns & Co. Inc. and UBS Investment Bank
are acting as joint bookrunning managers and DnB NOR Markets,  Inc. is acting as
a  co-manager.  The  Company  has also  granted  the  underwriters  an option to
purchase up to an additional 562,500 common shares to cover any over-allotments,
exercisable  within 30 days. The Company expects to close the sale of the common
shares on March 14, 2006, subject to customary closing conditions.

The net  proceeds  of this  offering  are  expected  to be used to  finance  the
acquisition  of the  Company's  ninth  Suezmax  tanker  which is  expected to be
delivered in early April and an additional  tanker that the Company is presently
planning  to  acquire  later  this year,  in line with the  Company's  policy of
maintaining  indebtedness  in the  region of $15  million  per vessel in current
market  conditions.  Any  remaining  balance may be used for  general  corporate
purposes,   including  repaying  future   indebtedness  and  any  future  vessel

The offering is being made only by means of a prospectus and related  prospectus
supplement.  A prospectus and the related  prospectus  supplement related to the
offering will be filed with the U.S. Securities and Exchange Commission.  Copies
of the  prospectus  relating to the offering may be obtained from the offices of
Bear,  Stearns & Co.  Inc.  at 383  Madison  Avenue,  New York,  New York 10179,
Attention: Prospectus Department and UBS Investment Bank at 299 Park Avenue, New
York, New York 10171, Attention: Syndicate Desk.

About the Company

The  Company  is  an  international   tanker  company  that  owns  eight  modern
double-hull  Suezmax  tankers of which seven are on spot charters or spot market
related charters. The Company expects to take delivery of the additional Suezmax
tanker that it has agreed to purchase in early April 2006.


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,"  "anticipate,"  "intend," "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. We undertake no obligation to update
any forward-looking  statement,  whether as a result of new information,  future
events or otherwise.

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-hires  and other
important  factors  described  from  time to time in the  reports  filed  by the
Company with the  Securities and Exchange  Commission,  including the prospectus
and  related  prospectus  supplement,  our Annual  Report on Form 20-F,  and our
reports on Form 6-K.

                     Scandic American Shipping Ltd
                     Manager for:
                     Nordic American Tanker Shipping Ltd.
                     P.O Box 56, 3201 Sandefjord, Norway
                     Tel: + 47 33 42 73 00

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

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


     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.


Dated:  March 9, 2006                  By: /s/ Herbjorn Hansson
                                               Herbjorn Hansson
                                               Chairman, Chief Executive Officer
                                               and President

01318 0002 650841