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 OF SECURITIES
                                                                                  
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Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934 or Section 30(h) of the Investment Company Act of 1940
                      

1. Name and Address of Reporting Person *

HERNANDEZ ROBERT M 		2. Issuer Name and Ticker or Trading Symbol

ACE Ltd [ ACE ] 		5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

__ X __ Director                      _____ 10% Owner
_____ Officer (give title below)      _____ Other (specify below)
(Last)          (First)          (Middle)

176 GROUSE POINT 		3. Date of Earliest Transaction (MM/DD/YYYY)

5/21/2015
(Street)

CHAMPION, PA 15622
(City)        (State)        (Zip)
4. 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 Acquired, Disposed of, or Beneficially Owned
1.Title of Security
(Instr. 3) 		2. Trans. Date 2A. Deemed Execution Date, if any 3. Trans. 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
Common Shares   5/21/2015     A (1)    1469   A   (1) 25871.594   (2) D    
Common Shares   5/21/2015     F (3)    391   D $108.90   26038.034   (4) D    
Commion Shares                  58189   I   By Trust  

Table II - Derivative Securities Beneficially Owned ( e.g. , puts, calls, warrants, options, convertible securities)
1. Title of Derivate Security
(Instr. 3) 		2. Conversion or Exercise Price of Derivative Security 3. Trans. Date 3A. Deemed Execution Date, if any 4. Trans. 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 7. Title and Amount of Securities Underlying Derivative Security
(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

Explanation of Responses:
( 1)  Restricted stock award granted as director fees under the ACE Limited 2004 Long-Term Incentive Plan (the "Plan"), which meets the requirements of Rule 16b-3. Such restricted stock will vest on the day prior to the next annual ACE Limited shareholders meeting, assuming the reporting person is a director of ACE Limited on such date.
( 2)  Total includes 1,140 Common Shares transferred from the reporting person's direct ownership to the reporting person's indirect ownership on June 2, 2014.
( 3)  Common Shares being withheld in order to pay tax liability.
( 4)  Total includes 557.44 shares credited at various times between April 2014 and April 2015 to the reporting person's deferred stock account pursuant to the dividend investment provisions of the Plan which meets the requirements of Rule 16b-3.

Reporting Owners
Reporting Owner Name / Address
Relationships
Director 10% Owner Officer Other
HERNANDEZ ROBERT M
176 GROUSE POINT
CHAMPION, PA 15622 		X



Signatures
/s/ Samantha Froud, Attorney-in-fact 5/26/2015
** 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 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).
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.
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