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                                                                    Exhibit 23.4

            CONSENT OF INDEPENDENT REGISTERED PUBLIC ACCOUNTING FIRM

We hereby consent to the incorporation by reference in this Registration
Statement on Form S-3 of our report dated February 25, 2004 relating to the
financial statements and financial statement schedules, which appear in ACE
Limited's Annual Report on Form 10-K for the year ended December 31, 2003. We
also consent to the references to us under the heading "Experts" in such
Registration Statement.


PricewaterhouseCoopers LLP

New York, New York
January 10, 2005