Exhibit 23.1 CONSENT OF INDEPENDENT ACCOUNTANTS We consent to the incorporation by reference in this registration statement of ACE Limited on Form S-8 of our reports dated February 13, 2002, on our audits of the consolidated financial statements and financial statement schedules of ACE Limited as of December 31, 2001 and 2000, and for the years ended December 31, 2001, 2000 and 1999, which reports are incorporated by reference and included in the Company's 2001 Annual Report on Form 10-K. PricewaterhouseCoopers LLP New York, New York March 2, 2003