Exhibit 5


                           CERTIFICATION PURSUANT TO
                 SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002



In connection with the Annual Report of CP Ships Limited (the "Company") on
Form 40-F for the period ended 31st December 2003 as filed with the Securities
and Exchange Commission on the date hereof (the "Report"), we, Ray Miles, the
Chief Executive Officer, and Ian Webber, the Chief Financial Officer of the
Company, certify, pursuant to 18 U.S.C. ss.1350, that:

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 result of operations of the
     Company.



                                        /s/ Ray Miles
                                        ---------------------------
                                        Ray Miles
                                        Chief Executive Officer



                                        /s/ Ian Webber
                                        ---------------------------
                                        Ian Webber
                                        Chief Financial Officer



Date:  7th April 2004

A signed original of this written statement required by Section 906 has been
provided to CP Ships Limited and will be retained by CP Ships Limited and
furnished to the Securities and Exchange Commission or its staff upon request.