As filed with the Securities and Exchange Commission on July 1, 1999
                                                      Registration No. 333-____

================================================================================

                     SECURITIES AND EXCHANGE COMMISSION
                           Washington, D.C. 20549
                                  FORM S-8
                           REGISTRATION STATEMENT
                                   UNDER
                         THE SECURITIES ACT OF 1933

                                ACE LIMITED
           (Exact name of registrant as specified in its charter)

      CAYMAN ISLANDS                                    98-0091805
(State or other jurisdiction of             (I.R.S. Employer Identification No.)
incorporation or organization)

                              The ACE Building
                            30 Woodbourne Avenue
                          Hamilton HM 08, Bermuda
            (Address of principal executive offices) (zip code)

           ACE Limited 1999 Replacement Long-Term Incentive Plan

                         (Full title of the plans)

                             Brian Duperreault
                                ACE Limited
                         c/o CT Corporation System
                               1633 Broadway
                          New York, New York 10019
                  (Name and address of agent for service)

Telephone number, including area code, of agent for service:  (441) 295-5200

                                  copy to
                              Laura D. Richman
                            Mayer, Brown & Platt
                           190 S. LaSalle Street
                          Chicago, Illinois 60603

                        ---------------------------


                      CALCULATION OF REGISTRATION FEE
================================================================================

                                   Proposed         Proposed
Title of                           Maximum          Maximum
Securities                         Offering         Aggregate         Amount of
to be            Amount to be      Price Per        Offering        Registration
Registered       Registered        Share(1)         Price(1)             Fee
- ----------       -------------     ----------       ---------      -------------

Ordinary          1,939,100        $27.46875      $53,264,653.25       $14,810
Shares,
$.041666667
par value (2)
- --------------------------------------------------------------------------------

(1)   Estimated solely for the purpose of computing the registration fee
      pursuant to Rule 457(c) under the Securities Act of 1933 on the basis
      of the average of the high and low prices of the Ordinary Shares
      reported on the New York Stock Exchange Composite Tape on June 28,
      1999.

(2)   Also includes preferred share purchase rights. Prior to the
      occurrence of certain events, the Rights will not be exercisable or
      evidenced separately from the Ordinary Shares.

================================================================================





                                  Part II

                          INFORMATION REQUIRED IN
                         THE REGISTRATION STATEMENT

Item 3.  Incorporation of documents by reference.

     The following documents, which have heretofore been filed by the
registrant with the Securities and Exchange Commission (the "Commission")
pursuant to the Securities Exchange Act of 1934 (the "Exchange Act"), are
incorporated by reference herein and shall be deemed to be a part hereof:

        (a) Annual Report on Form 10-K for the year ended September 30, 1998.

        (b) Annual Report on Form 10-K/A for the year ended September 30, 1998.

        (c) Current Report on Form 8-K filed December 23, 1998.

        (d) Current Report on Form 8-K filed January 14, 1999.

        (e) Current Report on Form 8-K/A filed January 14, 1999.

        (f) Quarterly Report on Form 10-Q for the quarter ended
            December 31, 1998.

        (g) Current Report on Form 8-K filed May 10, 1999.

        (h) Quarterly Report on Form 10-Q for the quarter ended March 31, 1999.

        (i) Current Report on Form 8-K filed May 19, 1999.

        (j) Description of Ordinary Shares included in the Registration
            Statement on Form 8-A dated March 2, 1993 as amended by Amendment
            No. 1 thereto dated March 11, 1993 filed under Section 12 of the
            Exchange Act.

        (k) Description of Series A Junior Participating Preference Shares
            included in Registration Statement on Form 8-A dated May 7, 1999
            filed under Section 12 of the Exchange Act.

     All documents subsequently filed by the registrant pursuant to
Sections 13(a), 13(c), 14 and 15(d) of the Exchange Act prior to the filing
of a post-effective amendment which indicates that all securities offered
have been sold or which deregisters all securities then remaining unsold
shall be deemed to be incorporated herein by reference and shall be deemed
a part hereof from the date of filing of such documents.

Item 4.  Description of Securities.

     Not applicable.

Item 5.  Interests of Named Experts and Counsel.

     Not applicable.

Item 6.  Indemnification of Directors and Officers.

        Section 100 of the Company's Articles of Association contains
provisions with respect to indemnification of the Company's officers and
directors. Such provision provides that the Company shall indemnify, in
accordance with and to the full extent now or hereafter permitted by law,
any person who was or is a party or is threatened to be made a party to any
threatened, pending or completed action, suit or proceeding, whether civil,
criminal, administrative or



                                    II-1



investigative (including, without limitation, an action by or in the right
of the Company), by reason of his acting as a director, officer, employee
or agent of, or his acting in any other capacity for or on behalf of, the
Company, against any liability or expense actually and reasonably incurred
by such person in respect thereof. The Company may also advance the
expenses of defending any such act, suit or proceeding in accordance with
and to the full extent now or hereafter permitted by law. Such
indemnification and advancement of expenses are not exclusive of any other
right to indemnification or advancement of expenses provided by law or
otherwise.

        The Companies Law (1995 Revision) of the Cayman Islands does not
set out any specific restrictions on the ability of a company to indemnify
officers or directors. However, the application of basic principles and
certain Commonwealth case law which is likely to be persuasive in the
Cayman Islands would indicate that indemnification is generally permissible
except in the event that there had been fraud or wilful default on the part
of the officer of director or reckless disregard of his duties and
obligations to the Company.

        The Company in the past has entered into underwriting agreements
which provide for indemnification, under certain circumstances, of the
Company, its officers and its directors by the underwriters.

        Directors and officers of the Company are also provided with
indemnification against certain liabilities pursuant to a directors and
officers liability insurance policy. Coverage is afforded for any loss that
the insureds become legally obligated to pay by reason of any claim or
claims first made against the insureds or any of them during the policy
period from any wrongful acts that are actually or allegedly caused,
committed or attempted by the insureds prior to the end of the policy
period. Wrongful acts are defined as any actual or alleged error,
misstatement, misleading statement or act, omission, neglect or breach of
duty by the insureds while acting in their individual or collective
capacities as directors or officers of the Company, or any other matter
claimed against them by reason of their being directors or officers of the
Company. Certain of the Company's directors are provided, by their
employer, with indemnification against certain liabilities incurred as
directors of the Company.

Item 7.  Exemption from Registration Claimed.

     Not applicable.

Item 8.  Exhibits.

            4.1      Memorandum of Association of the Company
                     (Incorporated by reference to Exhibit 3.1 to the
                     Company's Annual Report on Form 10-K for the year
                     ended September 30, 1998)

            4.2      Articles of Association of the Company
                     (Incorporated by reference to Exhibit 3.2 to the
                     Company's Annual Report on Form 10-K for the year
                     ended September 30, 1998)

            4.3      Specimen certificate representing Ordinary Shares
                     (Incorporated by reference to Exhibit 4.3 to the
                     Registration Statement on From S-1 of the Company
                     No. 33-57206)

            5.1      Opinion of Maples and Calder as to the legality of the
                     Ordinary Shares

            23.1     Consent of PricewaterhouseCoopers LLP

            23.2     Consent of Maples and Calder (included in Exhibit 5.1)

            24.1     Powers of Attorney (included in signature pages)



                                        II-2





           99.1     Appointment of CT Corporation as U.S. agent for service of
                    process (incorporated by reference to Exhibit 99.1 to
                    Registration Statement on Form S-1 of the Company
                    (No. 33-72118)).

           99.2     Confirmation of appointment of CT Corporation System as
                    U.S. agent for service of process (incorporated by
                    reference to Exhibit 99.2 to Registration Statement on
                    Form S-3 of the Company (No. 333-49257)).

Item 9.  Undertakings.

A.      Rule 415 Offering.
        ------------------

        The undersigned registrant hereby undertakes:

        1.   To file, during any period in which offers or sales are being
             made, a post-effective amendment to this registration statement:

              (i)  To include any prospectus required by section 10(a)(3) of the
                   Securities Act of 1933;

             (ii)  To reflect in the prospectus any facts or events arising
                   after the effective date of the registration statement (or
                   the most recent post-effective amendment thereof) which,
                   individually or in the aggregate, represent a fundamental
                   change in the information set forth in the registration
                   statement. Notwithstanding the foregoing, any increase or
                   decrease in volume of securities offered (if the total dollar
                   value of securities, offered would not exceed that which was
                   registered) and any deviation from the low or high end of the
                   estimated maximum offering range may be reflected in the form
                   of prospectus filed with the Commission pursuant to Rule
                   424(b) if, in the aggregate, the changes in volume and price
                   represent no more than a 20% change in the maximum aggregate
                   offering price set forth in the "Calculation of Registration
                   Fee" table in the effective registration statement;

             (ii)  To include any material information with respect to the
                   plan of distribution not previously disclosed in the
                   registration statement or any material change to such
                   information in the registration statement;

                   Provided, however, that paragraphs (a)(1)(i) and
                   (a)(1)(ii) do not apply if the registration statement
                   is on Form S-3 or Form S-8, and the information
                   required to be included in a post-effective amendment
                   by those paragraphs is contained in periodic reports
                   filed by the registrant pursuant to section 13 or
                   section 15(d) of the Securities Exchange Act of 1934
                   that are incorporated by reference in the registration
                   statement.

        2.    That, for the purpose of determining any liability under the
              Securities Act of 1933, each such post-effective amendment shall
              be deemed to be a new registration statement relating to the
              securities offered therein, and the offering of such
              securities at that time shall be deemed to be the initial
              bona fide offering thereof.

         3.   To remove from registration by means of a post-effective
              amendment any of the securities being registered which remain
              unsold at the termination of the offering.




                                    II-3



B.      Filings Incorporating Subsequent Exchange Act Documents
        by Reference.
        -------------------------------------------------------

     The undersigned registrant hereby undertakes that, for purposes of
determining any liability under the Securities Act of 1933, each filing of
the registrant's annual report pursuant to section 13(a) or section 15(d)
of the Securities Exchange Act of 1934 (and, where applicable, each filing
of an employee benefit plan's annual report pursuant to section 15(d) of
the Securities Exchange Act of 1934) that is incorporated by reference in
the registration statement shall be deemed to be a new registration
statement relating to the securities offered therein, and the offering of
such securities at that time shall be deemed to be the initial bona fide
offering thereof.

C.      Indemnification of Directors and Officers.
        ------------------------------------------

     Insofar as indemnification for liabilities arising under the
Securities Act of 1933 may be permitted to directors, officers and
controlling persons of the registrant pursuant to the foregoing provisions
or otherwise, the registrant has been advised that in the opinion of the
Securities and Exchange Commission such indemnification is against public
policy as expressed in the Securities Act of 1933 and is, therefore,
unenforceable. In the event that a claim for indemnification against such
liabilities (other than the payment by the registrant of expenses incurred
or paid by a director, officer or controlling person of the registrant in
the successful defense of any action, suit or proceeding) is asserted by
such director, officer or controlling person in connection with the
securities being registered, the registrant will, unless in the opinion of
its counsel the matter has been settled by controlling precedent, submit to
a court of appropriate jurisdiction the question whether such
indemnification by it is against public policy as expressed in the
Securities Act of 1933 and will be governed by the final adjudication of
such issue.



                                    II-4



                                 SIGNATURES


        Each person whose signature appears below constitutes and appoints,
Brian Duperreault, Christopher Z. Marshall, Peter N. Mear and Keith White
and each of them, the true and lawful attorneys-in-fact and agents of the
undersigned, with full power of substitution and resubstitution, for and in
the name, place and stead of the undersigned, in any and all capacities, to
sign any and all amendments (including post-effective amendments) to this
Registration Statement, and to file the same, with all exhibits thereto,
and other documents in connection therewith, with the Securities and
Exchange Commission, and hereby grants to such attorneys-in-fact and
agents, and each of them, full power and authority to do and perform each
and every act and thing requisite and necessary to be done, full to all
intents and purposes as the undersigned might or could do in person, hereby
ratifying and confirming all that said attorneys-in-fact and agents, or any
of them, or their or his substitute or substitutes, may lawfully do or
cause to be done by virtue hereof.

     Pursuant to the requirements of the Securities Act of 1933, the
Registrant certifies that it has reasonable grounds to believe that it
meets all of the requirements for filing on Form S-8 and has duly caused
this Registration Statement to be signed on its behalf by the undersigned,
thereunto duly authorized, in the City of Hamilton, Bermuda, on June 30,
1999.

                                         ACE Limited


                                         By:      /s/ Brian Duperreault
                                             ---------------------------------
                                         Its: Chairman, President and
                                                Chief Executive Officer

     Pursuant to the requirements of the Securities Act of 1933, this
Registration Statement has been signed below by the following persons in
the capacities and on the dates indicated.


Signature                          Title                               Date
- ---------                          -----                               ----

/s/ Brian Duperreault
- ---------------------------        Chairman, President and         June 30, 1999
Brian Duperreault                    Chief Executive Officer;
                                     Director

/s/ Christopher Z. Marshall        Chief Financial Officer;        June 30, 1999
- ----------------------------         (Principal Financial
Christopher Z. Marshall              Officer)


/s/ Robert A. Blee                 Chief Accounting Officer;       June 30, 1999
- -----------------------------         (Principal Accounting
Robert A. Blee                        Officer)


/s/ Donald Kramer                   Vice Chairman; Director        June 30, 1999
- -----------------------------
Donald Kramer


/s/ Michael G. Atieh                Director                       June 30, 1999
- -----------------------------
Michael G. Atieh




                                        II-5





Signature                           Title                             Date
- ---------                           -----                             ----


/s/ Bruce L. Crockett               Director                       June 30, 1999
- ----------------------------
Bruce L. Crockett


/s/ Jeffrey W. Greenberg            Director                       June 30, 1999
- ----------------------------
Jeffrey W. Greenberg


/s/ Meryl D. Hartzband              Director                       June 30, 1999
- -----------------------------
Meryl D. Hartzband


/s/ Robert M. Hernandez             Director                       June 30, 1999
- -----------------------------
Robert M. Hernandez


/s/ Peter Menikoff                  Director                       June 30, 1999
- -----------------------------
Peter Menikoff


/s/ Thomas J. Neff                  Director                       June 30, 1999
- -----------------------------
Thomas J. Neff


/s/ Glen M. Renfrew                 Director                       June 30, 1999
- -----------------------------
Glen M. Renfrew


/s/ Robert Ripp                     Director                       June 30, 1999
- ------------------------------
Robert Ripp


/s/ Walter A. Scott                 Director                       June 30, 1999
- -------------------------------
Walter A. Scott


/s/ Dermot F. Smurfit               Director                       June 30, 1999
- -------------------------------
Dermot F. Smurfit


/s/ Robert W. Staley                Director                       June 30, 1999
- -------------------------------
Robert W. Staley


/s/ Gary M. Stuart                  Director                       June 30, 1999
- -------------------------------
Gary M. Stuart


/s/ Sidney F. Wentz                 Director                       June 30, 1999
- -------------------------------
Sidney F. Wentz





                                        II-6





                            AUTHORIZED REPRESENTATIVE

        Pursuant to the requirements of the Securities Act of 1933, as
amended, this Registration Statement has been signed below by the
undersigned as the duly authorized representative of ACE Limited in the
United States.



                                         /s/ Brian Duperreault
                                     -----------------------------------
                                             Brian Duperreault


                                      Date:  June 30, 1999




                                    II-7




                               EXHIBIT INDEX


Exhibit Number      Description of Document                         Page Number
- --------------      -----------------------                         -----------

      4.1           Memorandum of Association of the Company
                    (Incorporated by reference to Exhibit 3.1 to the
                    Company's Annual Report on Form 10-K for the year
                    ended September 30, 1998)

      4.2           Articles of Association of the Company (Incorporated
                    by reference to Exhibit 3.2 to the Company's Annual
                    Report on Form 10-K for the year ended September 30,
                    1998)

      4.3           Specimen certificate representing Ordinary Shares
                    (Incorporated by reference to Exhibit 4.3 to the
                    Registration Statement on From S-1 of the Company
                    (No. 33-57206))

      5.1           Opinion of Maples and Calder as to the legality of the
                    Ordinary Shares

      23.1          Consent of PricewaterhouseCoopers LLP

      23.2          Consent of Maples and Calder (included in Exhibit 5.1)

      24.1          Powers of Attorney (included in signature pages)

      99.1          Appointment of CT Corporation as U.S. agent for
                    service of process (incorporated by reference to
                    Exhibit 99.1 to Registration Statement on Form
                    S-1 of the Company (No. 33-72118)).

      99.2          Confirmation of appointment of CT Corporation System as
                    U.S. agent for service of process (incorporated by
                    reference to Exhibit 99.2 to Registration Statement on
                    Form S-3 of the Company (No. 333-49257)).