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 2006


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

                                   Reid House
                                31 Church Street
                                 Hamilton HM FX
                                     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 is a copy of the press release issued by Nordic American
Tanker Shipping Limited (the "Company") on March 22, 2006, announcing the
exercise of an over-allotment option by underwriters of the Company's follow-on
offering completed March 14, 2006.






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

Hamilton, Bermuda, March 22, 2006

Nordic American Tanker Shipping Ltd. (the Company) today announced that the
underwriters of its follow-on offering of 3,750,000 common shares, completed on
March 14, 2006, exercised an over-allotment option granted to the underwriters
by the Company. The Company will sell an additional 547,500 common shares as a
result of the over-allotment exercise.

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.

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.

            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 Ltd.
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 Ltd.
Tel: +1 800 601 9079 or + 47 908 26 906

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

Herbjorn 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:  March 23, 2006              By:  /s/ Herbjorn Hansson
                                           -----------------
                                           Chairman, Chief Executive Officer
                                           and President




SK 01318 0002 654656