EXHIBIT 31.1

                    CERTIFICATION OF CHIEF EXECUTIVE OFFICER
              PURSUANT TO EXCHANGE ACT RULE 13a-14(a) OR 15d-14(a)

      I, Eugene M. Isenberg, Chairman and Chief Executive Officer of Nabors
      Industries Ltd., certify that:

1.    I have reviewed this annual report on Form 10-K/A of Nabors Industries
      Ltd.; and

2.    Based on my knowledge, this report does not contain any untrue statement
      of a material fact or omit to state a material fact necessary to make the
      statements made, in light of the circumstances under which such statements
      were made, not misleading with respect to the period covered by this
      report.

Date: May 2, 2005
                                         /s/ Eugene M. Isenberg
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                                         Eugene M. Isenberg
                                         Chairman and Chief Executive Officer