Statement of Changes in Beneficial Ownership (4)

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	OMB APPROVAL OMB Number: 3235-0287 Estimated average burden hours per response... 0.5
	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 * GREENBERG EVAN G	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 __ X __ Officer (give title below)      _____ Other (specify below) Chairman & CEO
(Last)          (First)          (Middle) THE ACE BUILDING, 17 WOODBOURNE AVENUE	3. Date of Earliest Transaction (MM/DD/YYYY) 9/18/2015
(Street) HAMILTON, D0 HM 08 (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	9/18/2015		M		1773	A	$56.40	1216214	D
Common Shares	9/18/2015		M		106827	A	$56.40	1323041	D
Common Shares	9/18/2015		S (1)		46734	D	$99.92   (2)	1276307	D
Common Shares	9/21/2015		S (3)		2620	D	$101.34   (4)	1273687	D
Common Shares								154	I	By Son
Common Shares								60735	I	By Son's Trust
Common Shares								60735	I	By Daughter's 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
Options to Acquire Common Shares	$56.40	9/18/2015		M			106827	(5)	2/22/2016	Common Shares	106827	$0.00   (5)	1190945   (6)	D
Options to Acquire Common Shares	$56.40	9/18/2015		M			1773	(5)	2/22/2016	Common Share	1773	$0.00   (5)	1189172   (6)	D

Explanation of Responses:
( 1)	Sale of Common Shares in connection with broker-assisted cashless exercise of options.
( 2)	The Common Shares reported herein as being sold were sold at a range of between $99.7301 and $100.03 per share. The sale price reported above represents the weighted average sale price for the reported transaction and has been rounded to the nearest cent.
( 3)	Sale of Common Shares in connection with the tax withholding for option exercise.
( 4)	The Common Shares reported herein as being sold were sold at a range of between $101.29 and $101.39 per share. The sale price reported above represents the weighted average sale price for the reported transaction and has been rounded to the nearest cent.
( 5)	The stock options vested in equal installments on February 22, 2007, February 22, 2008 and February 22, 2009.
( 6)	All options of this tranche have been exercised. Total includes options from other tranches with different exercise prices, vesting dates and expiration dates.

Reporting Owners
Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
GREENBERG EVAN G THE ACE BUILDING 17 WOODBOURNE AVENUE HAMILTON, D0 HM 08	X		Chairman & CEO

Signatures
/s/ Samantha Froud, Attorney-in-fact		9/22/2015
** 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.
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