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U.S. SECURITIES AND EXCHANGE COMMISSION
 Washington, D.C. 20549
FORM 5
ANNUAL STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP
Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934,
Section 17(a) of the Public Utility Holding Company Act of 1935 or
Section 30(f) of the Investment Company Act of 1940
[ ] Check box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).
[ ] Form 3 Holdings Reported
[ ] Form 4 Transactions Reported

1. Name and Address of Reporting Person*

     CROCKETT                        Bruce                  L.
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   (Last)                            (First)              (Middle)

    906 Frome Lane
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                                    (Street)

    McLean                           VA                    22102-2106
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   (City)                            (State)                (Zip)
_______________________________________________________________________________	

2. Issuer Name and Ticker or Trading Symbol
ACE Limited (NYSE:ACL)

3. IRS or Social Security Number of Reporting Person (Voluntary)

4. Statement for Month/Year December 1999

5. If Amendment, Date of Original (Month/Year)

6. Relationship of Reporting Person to Issuer
(Check all applicable)
[X] Director [ ] 10% Owner
[ ] Officer (give title below) [ ] Other (specify below)

7. Individual or Joint/Group Filing
(Check applicable line)
[X] Form filed by One Reporting Person
[ ] Form filed by More than One Reporting Person

Table I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned

                                                                                                 5.             6.
                                                                 4.                              Amount of      Owner-
                                                                 Securities Acquired (A) or      Securities     ship
                                                                 Disposed of (D)                 Beneficially   Form:     7.
                                                                 (Instr. 3, 4 and 5)             Owned at End   Direct    Nature of
                                      2.            3.           -----------------------------   of Issuer's    (D) or    Indirect
1.                                    Transaction   Transaction                  (A)             Fiscal Year    Indirect  Beneficial
Title of Security                     Date          Code             Amount      or     Price    (Instr. 3      (I)       Ownership
(Instr. 3)                            (mm/dd/yy)    (Instr. 8)                   (D)             and 4)         (Instr. 4)(Instr. 4)
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Ordinary Shares                       10/15/99       A(1)            42.097      A      (1)
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Ordinary Shares                        11/2/99       A(2)               65       A      (1)      23,845.55      D
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* If the Form is filed by more than one Reporting Person, see Instruction 4(b)(v).
Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.

(Print or Type responses)
(Over)

(Form 5-07/98)

FORM 5 (continued)
Table II -- Derivative Securities Acquired, Disposed of, or Beneficially Owned

(e.g., puts, calls, warrants, options, convertible securities)

                                                                                                          9.        10.
                                                                                                          Number    Owner-
                                                                                                          of        ship
                    2.                                                                                    Deriv-    of
                    Conver-                    5.                              7.                         ative     Deriv-   11.
                    sion                       Number of                       Title and Amount           Secur-    ative    Nature
                    or                         Derivative    6.                of Underlying     8.       ities     Secur-   of
                    Exer-                      Securities    Date              Securities        Price    Bene-     ity:     In-
                    cise     3.                Acquired (A)  Exercisable and   (Instr. 3 and 4)  of       ficially  Direct   direct
                    Price    Trans-   4.       or Disposed   Expiration Date   ----------------  Deriv-   Owned     (D) or   Bene-
1.                  of       action   Trans-   of (D)        (Month/Day/Year)            Amount  ative    at End    In-      ficial
Title of            Deriv-   Date     action   (Instr. 3,    ----------------            or      Secur-   of        direct   Owner-
Derivative          ative    (Month/  Code     4 and 5)      Date     Expira-            Number  ity      Year      (I)      ship
Security            Secur-   Day/     (Instr.  ------------  Exer-    tion               of      (Instr.  (Instr.   (Instr.  (Instr.
(Instr. 3)          ity      Year)    8)        (A)   (D)    cisable  Date     Title     Shares  5)       4)        4)       4)
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Explanation of Responses:

(1)  Represents share units credited to the reporting person's deferred stock account pursuant to the dividend reinvestment
     provisions of the ACE Limited 1995 Outside Directors Plan (the "Plan"), which plan meets the requirements of Rule 16b-3.
     Reporting person has elected to defer the receipt of such share units in accordance with the terms of the Plan.
(2)  Represents Ordinary Shares granted as a committee chairman award pursuant to the Plan.  Reporting person has elected to defer
     the receipt of such Ordinary Shares in accordance with the terms of the Plan.	

Signed for Bruce L. Crockett pursuant to a power of attorney on file with the
Securities and Exchange Commission

By: /s/ Peter Mear                                           11th Feb. 2000
   -------------------------------------                    -------------------
      **Signature of Reporting Person                             Date

**  Intentional misstatements or omissions of facts constitute Federal Criminal
    Violations.	

See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).
Note: File three copies of this Form, one of which must be manually signed.
If space provided is insufficient, see Instruction 6 for procedure.
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