As filed with the Securities and Exchange Commission on June 23, 2004
                                                       Registration No. 33-18966

================================================================================

                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                         POST-EFFECTIVE AMENDMENT NO. 2

                                       TO

                                    FORM S-8

                             REGISTRATION STATEMENT
                                      UNDER
                           THE SECURITIES ACT OF 1933

                                NOBLE CORPORATION
             (Exact name of Registrant as specified in its charter)

CAYMAN ISLANDS                                                        98-0366361
(State or other jurisdiction                                    (I.R.S. Employer
of incorporation or organization)                         Identification Number)

                      13135 SOUTH DAIRY ASHFORD, SUITE 800
                             SUGAR LAND, TEXAS 77478
          (Address of principal executive offices, including zip code)

                 NOBLE DRILLING CORPORATION 401(k) SAVINGS PLAN
                            (Full Title of the Plan)

                               ROBERT D. CAMPBELL
                       VICE PRESIDENT AND GENERAL COUNSEL
                          NOBLE DRILLING SERVICES INC.
                      13135 SOUTH DAIRY ASHFORD, SUITE 800
                             SUGAR LAND, TEXAS 77478
                                 (281) 276-6100
(Name, address and telephone number, including area code, of agent for service)

                                    Copy to:
                                 David L. Emmons
                               Baker Botts L.L.P.
                           2001 Ross Avenue, Suite 700
                            Dallas, Texas 75201-2980

================================================================================


                                       1



                          DEREGISTRATION OF SECURITIES

      This Post-Effective Amendment No. 2 to Form S-8 relates to the
Registration Statement on Form S-8 (File No. 33-18966) under the Securities Act
of 1933, as amended, filed with the Securities and Exchange Commission (the
"Commission") on December 7, 1987 (the "Registration Statement"), as amended by
Post-Effective Amendment No. 1 to Form S-8 filed with the Commission on May 15,
2002, of Noble Corporation, a Cayman Islands exempted company limited by shares
("Noble"), as successor issuer to Noble Drilling Corporation, a Delaware
corporation, covering ordinary shares, par value US$0.10 per share ("Ordinary
Shares"), of Noble (and related preferred share purchase rights) and certain
plan interests to be issued under the Noble Drilling Corporation 401(k) Savings
Plan, formerly the Noble Drilling Corporation Thrift Plan (the "Plan"). Noble is
filing this Post-Effective Amendment No. 2 to Form S-8 to deregister all
securities, including all plan interests and Ordinary Shares (and related
preferred share purchase rights), that were registered under the Registration
Statement but remain unissued under the Plan as of the date this Post-Effective
Amendment No. 2 to Form S-8 is filed with the Commission.


                                       2



                                   SIGNATURES

      Pursuant to the requirements of the Securities Act of 1933, Noble
Corporation certifies that it has reasonable grounds to believe that it meets
all of the requirements for filing on Form S-8 and has duly caused this
Post-Effective Amendment No. 2 to Registration Statement on Form S-8 to be
signed on its behalf by the undersigned, thereunto duly authorized, in the City
of Sugar Land, State of Texas, on June 22, 2004.

                                      NOBLE CORPORATION

                                      By: /s/ Mark A. Jackson
                                          --------------------------------------
                                          Mark A. Jackson, Senior Vice
                                          President, Chief Financial Officer,
                                          Treasurer, Controller and Assistant
                                          Secretary

      Pursuant to the requirements of the Securities Act of 1933, this
Post-Effective Amendment No. 2 to Registration Statement on Form S-8 has been
signed by the following persons in the capacities indicated on June 22, 2004.



              SIGNATURE                                      TITLE
              ---------                                      -----
                                      
          /s/ James C. Day               Chairman and Chief Executive Officer
--------------------------------------   and Director (Principal Executive
             James C. Day                Officer and Authorized Representative
                                         in the United States)


         /s/ Mark A. Jackson             Senior Vice President, Chief Financial
--------------------------------------   Officer, Treasurer, Controller and
           Mark A. Jackson               Assistant Secretary (Principal
                                         Financial and Accounting Officer)


                 *                       Director
--------------------------------------
          Michael A. Cawley


                 *                       Director
--------------------------------------
         Lawrence J. Chazen


                 *                       Director
--------------------------------------
           Luke R. Corbett


                 *                       Director
--------------------------------------
           Marc E. Leland


                 *                       Director
--------------------------------------
            Jack E. Little



                                      II-1





              SIGNATURE                                 TITLE
              ---------                                 -----
                                                   

--------------------------------------                Director
        Mary P. Ricciardello

                 *                                    Director
--------------------------------------
          William A. Sears

*By: /s/ Robert D. Campbell
     ---------------------------------
     Robert D. Campbell, Attorney-in-Fact



      THE PLAN. Pursuant to the requirements of the Securities Act of 1933, the
Noble Drilling Corporation Employee Benefits Committee has duly caused this
Registration Statement to be signed on its behalf by the undersigned, thereunto
duly authorized, in the City of Sugar Land, State of Texas, on June 22, 2004.

                                      NOBLE DRILLING CORPORATION 401(k)
                                      SAVINGS PLAN

                                      By: Noble Drilling Corporation
                                          Employee Benefits Committee


                                      By: /s/ Marsha L. Galvan
                                          --------------------------------------
                                          Marsha L. Galvan
                                          Member of Employee Benefits Committee


                                      By: /s/ Michael N. Lamb
                                          --------------------------------------
                                          Michael N. Lamb
                                          Member of Employee Benefits Committee


                                      By: /s/ Thomas M. Madden
                                          --------------------------------------
                                          Thomas M. Madden
                                          Member of Employee Benefits Committee


                                      By: /s/ Thomas F. O'Rourke
                                          --------------------------------------
                                          Thomas F. O'Rourke
                                          Member of Employee Benefits Committee


                                      II-2






                                      By: /s/ Julie J. Robertson
                                          --------------------------------------
                                          Julie J. Robertson
                                          Member of Employee Benefits Committee


                                      II-3



                                INDEX TO EXHIBITS



Exhibit
 Number         Description
 ------         -----------
             
24.1+           Powers of Attorney.



----------
+     Previously filed.


                                      II-4