Sec Form 4 Filing - SCHMALZRIEDT GARY T @ ACE LTD - 2006-09-29

FORM 4 Check this box if no longer subject to Section 16. Form 4 or Form 5 obligations may continue. See Instruction 1(b).

UNITED STATES SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549 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(h) of the Investment Company Act of 1940

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1. Name and Address of Reporting Person SCHMALZRIEDT GARY T 2. Issuer Name and Ticker or Trading Symbol ACE LTD [ ACE] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) _____ Director _____ 10% Owner X __ Officer (give title below) _____ Other (specify below) Subsidiary Chairman (Last) (First) (Middle) ACE OVERSEAS GENERAL, 1325 AVENUE OF THE AMERICAS 3. Date of Earliest Transaction (MM/DD/YY) 09/29/2006 (Street) NEW YORK, NY10019 4. If Amendment, Date Original Filed (MM/DD/YY) 6. Individual or Joint/Group Filing (Check Applicable Line) __ X __ Form filed by One Reporting Person _____ Form filed by More than One Reporting Person (City) (State) (Zip)

Table I - Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned 1.Title of Security (Instr. 3) 2. Transaction Date (MM/DD/YY) 2A. Deemed Execution Date, if any (MM/DD/YY) 3. Transaction Code (Instr. 8) 4. Securities Acquired (A) or Disposed of (D) (Instr. 3, 4 and 5) 5. Amount of Securities Beneficially Owned Following Reported Transaction(s) (Instr. 3 and 4) 6. Ownership Form: Direct (D) or Indirect (I) (Instr. 4) 7. Nature of Indirect Beneficial Ownership (Instr. 4) Code V Amount (A) or (D) Price Ordinary Shares 09/29/2006 A 13,700 A 98,758.474 D

Table II - Derivative Securities Acquired, Disposed of, or Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities) 1. Title of Derivative Security (Instr. 3) 2. Conversion or Exercise Price of Derivative Security 3. Transaction Date (MM/DD/YY) 3A. Deemed Execution Date, if any (MM/DD/YY) 4. Transaction Code (Instr. 8) 5. Number of Derivative Securities Acquired (A) or Disposed of (D) (Instr. 3, 4, and 5) 6. Date Exercisable and Expiration Date (MM/DD/YY) 7. Title and Amount of Underlying Securities (Instr. 3 and 4) 8. Price of Derivative Security (Instr. 5) 9. Number of Derivative Securities Beneficially Owned Following Reported Transaction(s) (Instr. 4) 10. Ownership Form of Derivative Security: Direct (D) or Indirect (I) (Instr. 4) 11. Nature of Indirect Beneficial Ownership (Instr. 4) Code V (A) (D) Date Exercisable Expiration Date Title Amount or Number of Shares Options to Acquire Ordinary Shares $ 54.73 09/29/2006 A( 2 ) 11,430 ( 2 ) 09/29/2016 Ordinary Shares 11,430 $ 0 ( 2 ) 278,530 ( 3 ) D

Reporting Owners Reporting Owner Name / Address Relationships Director 10% Owner Officer Other SCHMALZRIEDT GARY T ACE OVERSEAS GENERAL 1325 AVENUE OF THE AMERICAS NEW YORK, NY10019 Subsidiary Chairman Signatures /s/ Signed for Gary T. Schmalzriedt by Keith White pursuant to a power of attorney 10/02/2006 Signature of Reporting Person Date

Explanation of Responses:

( 1 )Restricted stock award pursuant to ACE Limited 2004 Long-Term Incentive Plan. Stock vests as follows: 1/4 on the first anniversary of the date of the award, 1/4 on the second anniversary of the date of the award, 1/4 on the third anniversary of the date of the award and 1/4 on the fourth anniversary of the date of the award. ( 2 )Option award pursuant to the ACE Limited 2004 Long-Term Incentive Plan. Options vest as follows: 1/3 on the first anniversary of the date of the award, 1/3 on the second anniversary of the date of the award and 1/3 on the third anniversay of the date of the award. ( 3 )Total included options from other tranches with different exercise prices and expiration dates.

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.

* If the form is filed by more than one reporting person, see Instruction 4(b)(v).

** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).

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