FORM 3
        	UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES
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                      	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	                      	

1. Name and Address of Reporting Person *

Shasta Theodore	2. Date of Event Requiring Statement (MM/DD/YYYY)
5/19/2010 
	3. Issuer Name and Ticker or Trading Symbol

ACE Ltd [ACE]	
(Last)        (First)        (Middle)

THE ACE BUILDING, 17 WOODBOURNE AVENUE	4. Relationship of Reporting Person(s) to Issuer (Check all applicable)

__ X __ Director                            _____ 10% Owner
_____ Officer (give title below)          _____ Other (specify below)	
(Street)

HAMILTON, D0 HM 08       

(City)              (State)              (Zip)	5. If Amendment, Date Original Filed (MM/DD/YYYY)

	6. 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 Beneficially Owned	
1.Title of Security
(Instr. 4)	2. Amount of Securities Beneficially Owned
(Instr. 4)	3. Ownership Form: Direct (D) or Indirect (I)
(Instr. 5)	4. Nature of Indirect Beneficial Ownership
(Instr. 5)	
Common Shares  	0  	D  	 	

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)	
1. Title of Derivate Security
(Instr. 4)	2. Date Exercisable and Expiration Date
(MM/DD/YYYY)	3. Title and Amount of Securities Underlying Derivative Security
(Instr. 4)	4. Conversion or Exercise Price of Derivative Security	5. Ownership Form of Derivative Security: Direct (D) or Indirect (I)
(Instr. 5)	6. Nature of Indirect Beneficial Ownership
(Instr. 5)	
	Date Exercisable	Expiration Date	Title	Amount or Number of Shares				

Explanation of Responses:	

Reporting Owners	
Reporting Owner Name / Address	Relationships	
	Director	10% Owner	Officer	Other	
Shasta Theodore
THE ACE BUILDING, 17 WOODBOURNE AVENUE
HAMILTON, D0 HM 08	X				

Signatures		
/s/Lori Samson, Attorney-in-fact		5/21/2010	
** Signature of Reporting Person		Date

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 5(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).	
Note:	File three copies of this Form, one of which must be manually signed. If space is insufficient, see Instruction 6 for procedure.	
Persons who respond to the collection of information contained in this form are not required to respond unless the form displays a currently valid OMB control number.	

ACE LIMITED
Power of Attorney
Section 16(a) Reports
      The undersigned, in his capacity as a director and/or executive officer of ACE Limited, does hereby appoint each of Paula Cox, Robert Cusumano, Paul Medini and Lori Samson, his true and lawful attorney, to execute in his name, place and stead, in his capacity as a director and/or executive officer of said company, any and all reports required by Section 16(a) of the Securities Exchange Act of 1934 and the rules thereunder, and any and all amendments thereto, and all other documents necessary or incidental in connection therewith, and to file or cause to be filed the same with the Securities and Exchange Commission, the New York Stock Exchange and such other exchanges and authorities as may be necessary or appropriate.  Said attorneys shall each have full power and authority to do and perform, in the name and on behalf of the undersigned, in any and all capacities, each and every act requisite or necessary to be done in the premises, as fully and to all intents and purposes as the undersigned might or could do in person, the undersigned hereby ratifying and approving the acts of any of said attorneys.
      This Power of Attorney shall remain in full force and effect until the undersigned is no longer required to file reports under Section 16(a) of the Exchange Act with respect to the undersigned's holdings of and transactions in securities issued by ACE Limited unless earlier revoked by the undersigned in a signed writing delivered to the foregoing attorneys-in-fact.
      IN TESTIMONY WHEREOF, the undersigned has executed this instrument as of May 19th, 2008.

                                                /s/Theodore Shasta
                                                Signature
                                                Theodore Shasta
                                                Typed or Printed Name

9176505 96329958

9176505 96329958

9176505 96329958