<DOCUMENT>
<TYPE>EX-32
<SEQUENCE>5
<FILENAME>ex99-4form40f_2004.txt
<DESCRIPTION>EXHIBIT 99.4
<TEXT>
                                                                    EXHIBIT 99.4

    CERTIFICATION PURSUANT TO 18 U.S.C. SECTION 1350, AS ADOPTED PURSUANT TO
                 SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

         In connection with the Annual Report of Precision Drilling Corporation
(the "Company") on Form 40-F for the year ended December 31, 2004, as filed with
the Securities and Exchange Commission on the date hereof (the "Report"), I,
Dale E. Tremblay, Senior Vice-President & Chief Financial Officer of the
Company, certify, pursuant to 18 U.S.C. section 1350, as adopted pursuant to
Section 906 of the Sarbanes-Oxley Act of 2002, that to the best of my knowledge:

1.     The Report fully complies with the requirements of section 13(a) or 15(d)
       of the Securities Exchange Act of 1934; and

2.     The information contained in the Report fairly presents, in all material
       respects, the financial condition and results of operations of the
       Company.

       By:   /S/ DALE E. TREMBLAY
             --------------------
             Dale E. Tremblay
             Senior Vice-President & Chief Financial Officer

March 29, 2005
</TEXT>
</DOCUMENT>
