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 2006


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

                                  LOM Building
                                 27 Reid Street
                                 Hamilton, HM 11
                                     Bermuda
                    (Address of principal executive offices)

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

Form 20-F [X]     Form 40-F [  ]

Indicate by check mark if the  registrant is submitting the Form 6-K in paper as
permitted by Regulation S-T Rule 101(b)(1): ___

Indicate by check mark if the  registrant is submitting the Form 6-K in paper as
permitted by Regulation S-T Rule 101(b)7: ___

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 ]

If "Yes" is marked, indicate below the file number assigned to the registrant in
connection with Rule 12g3-2(b): ________.




INFORMATION CONTAINED IN THIS FORM 6-K REPORT

     Attached hereto as Exhibit 1 is the press release issued by Nordic American
Tanker Shipping  Limited (the "Company") on October 11, 2006 announcing that the
underwriters  of the  Company's  follow-on  offering of 5,000,000  common shares
exercised an  over-allotment  option to purchase an  additional  750,000  common
shares.



                                                                Exhibit 1


[GRAPHIC OMITTED]

Nordic American Tanker Shipping Ltd. (NAT)-(NYSE:NAT)
Announces Underwriters' Exercise of Over-allotment Option.

Hamilton,  Bermuda,  October 11, 2006 -- Nordic  American  Tanker  Shipping Ltd.
(NYSE:  NAT) today announced that the underwriters of its follow-on  offering of
5,000,000  common  shares,  priced at $32.00 on October 5,  2006,  exercised  an
over-allotment  option granted to the  underwriters by the Company.  The Company
will sell an additional  750,000 common shares as a result of the over-allotment
exercise.

Bear,  Stearns & Co. Inc.  and Morgan  Stanley  are acting as joint  bookrunning
managers  and DnB NOR  Markets,  Inc.,  Dahlman  Rose & Company,  LLC and Scotia
Capital (USA) Inc. are acting as  co-managers.  The Company expects to close the
sale of the common shares in the follow-on offering and pursuant to the exercise
of the  over-allotment  option on October 11, 2006, subject to customary closing
conditions.

The offering is being made only by means of a prospectus and related  prospectus
supplement.  A prospectus supplement related to the offering has been filed with
the Securities and Exchange Commission.  Copies of the prospectus and prospectus
supplement  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 Morgan Stanley at 180 Varick Street,  Second Floor,
New York, New York 10014, Attention: Prospectus Department.

About the Company

The Company is an international tanker company that owns nine modern double-hull
Suezmax  tankers.  The Company expects to take delivery of the three  additional
Suezmax tankers no later than November 2006.


            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,"  "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-hire,  failure on the
part of a seller to complete a sale to us 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.

Contacts:
Scandic American Shipping Ltd
Manager for:
Nordic American Tanker Shipping Limited
P.O Box 56, 3201 Sandefjord, Norway
Tel: + 47 33 42 73 00
E-mail:  nat@scandicamerican.com
         -----------------------

Web-site:  www.nat.bm
           ----------

Rolf Amundsen, Investor Relations
Nordic American Tanker Shipping Limited
Tel: +1 800 601 9079 or + 47 908 26 906

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

Herbjorn Hansson, Chairman and Chief Executive Officer
Nordic American Tanker Shipping Limited
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 19, 2006           By:  /s/ Herbjorn Hansson
                                        --------------------
                                            Herbjorn Hansson
                                            Chairman, Chief Executive Officer
                                            and President



SK 01318 0002 713555