Exhibit 23.1


                     CONSENT OF INDEPENDENT ACCOUNTANT



      We consent to the incorporation by reference in this Registration
      Statement of ACE Limited on Form S-8 of our report dated November 4,
      1998 relating to the consolidated financial statements of ACE Limited
      which is incorporated by reference in ACE Limited's Annual Report on
      Form 10-K for the year ended September 30, 1998. We also consent to
      the incorporation by reference of our report dated November 4, 1998
      relating to the financial statement schedules of ACE Limited which is
      included in ACE Limited's Annual Report on 10-K for the year ended
      September 30, 1998.




/s/PRICEWATERHOUSECOOPERS LLP
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PricewaterhouseCoopers LLP
New York, New York
December 30, 1999









                     CONSENT OF INDEPENDENT ACCOUNTANTS


      We consent to the incorporation by reference in this Registration
      Statement of ACE Limited on Form S-8 of our report dated April 2,
      1999 relating to the financial statements of CIGNA Corporation
      Property and Casualty Businesses Combined Financial Statements which
      appears in the Current Report on Form 8-K of ACE Limited dated May
      19, 1999.





/s/PRICEWATERHOUSECOOPERS LLP
- -----------------------------
PricewaterhouseCoopers LLP
New York, New York
December 30, 1999