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, Section 17(a) of the Public
Utility Holding Company Act of 1935 or Section 30(f) of the Investment Company Act of 1940	                      	

1. Name and Address of Reporting Person *

AON CORP	2. Issuer Name and Ticker or Trading Symbol

ENDURANCE SPECIALTY HOLDINGS LTD [ ENH ]	5. Relationship of Reporting Person(s) to Issuer (Check all applicable)

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

AON CORPORATION - CORPORATE LAW DEPT, 200 EAST RANDOLPH STREET, 8TH FLOOR	3. Date of Earliest Transaction (MM/DD/YYYY)

3/3/2004		
(Street)

CHICAGO, IL 60601
(City)        (State)        (Zip)	4. If Amendment, Date Original Filed (MM/DD/YYYY)

 	6. Individual or Joint/Group Filing (Check Applicable Line)

___ Form filed by One Reporting Person
_ X _ 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				
Ordinary Shares, par value $1.00  	 	 	 	  	 	 	 	379851  	D  	 	
Ordinary Shares, par value $1.00  	3/3/2004  	 	S	  	1875484   (4)	D	$34.85  	9676781  	I  	By Subsidiaries   (1) (2) (3)	

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) 	The designated Reporting Person, Aon Corporation ("Aon"), is filing this Form 4 on behalf of itself, Virginia Surety Company (formerly known as Combined Specialty Insurance Company)("VSC"), Combined Insurance Company of America ("CICA"), Resource Life Insurance Company ("Resource"), London General Insurance Company ("London General"), Sterling Life Insurance Company ("Sterling") and Combined Life Assurance Company of Europe Ltd. ("CLACE").	
(  2) 	Aon, VSC, CICA, Resource, London General, Sterling and CLACE share the address reported herein. The I.R.S. Identification Numbers for the entities are as follows: VSC - 36-3186541, CICA - 36-2136262, Resource - 47-0482911 and Sterling - 13-1867829. Neither London General nor CLACE has been assigned an I.R.S. Identification Number, as London General is incorporated under the laws of the United Kingdom and CLACE is incorporated under the laws of Ireland.	
(  3) 	Aon indirectly beneficially owns the securities being reported herein due to its status as the parent corporation of VSC, CICA, Resource, London General, Sterling and CLACE. Aon's subsidiaries own the following number of ordinary shares of Endurance: VSC - 7,467,310, CICA - 1,769,471, Resource - 150,000, London General - 115,000, Sterling - 100,000 and CLACE - 75,000.	
(  4) 	Includes 1,267,984 ordinary shares sold by VSC and 607,500 ordinary shares sold by the Aon Pension Plan.	

Reporting Owners	
Reporting Owner Name / Address	Relationships	
	Director	10% Owner	Officer	Other	
AON CORP
AON CORPORATION - CORPORATE LAW DEPT
200 EAST RANDOLPH STREET, 8TH FLOOR
CHICAGO, IL 60601		X			
COMBINED SPECIALTY INSURANCE CO OF AMERICA
AON CORPORATION - CORPORATE LAW DEPT
200 EAST RANDOLPH STREET, 8TH FLOOR
CHICAGO, IL 60601		X			
COMBINED INSURANCE CO OF AMERICA
AON CORPORATION - CORPORATE LAW DEPT
200 EAST RANDOLPH DRIVE, 8TH FLOOR
CHICAGO, IL 60601		X			
RESOURCE LIFE INSURANCE CO
AON CORPORATION - CORPORATE LAW DEPT
200 EAST RANDOLPH STREET, 8TH FLOOR
CHICAGO, IL 60601		X			
LONDON GENERAL INSURANCE CO LTD
AON CORPORATION - CORPORATE LAW DEPT
CHICAGO, IL 60601		X			
STERLING LIFE INSURANCE CO INC
AON CORPORATION - CORPORATE LAW DEPT
200 EAST RANDOLPH STREET, 8TH FLOOR
CHICAGO, IL 60601		X			
COMBINED LIFE ASSURANCE CO OF EUROPE LTD
AON CORPORATION - CORPORATE LAW DEPT
200 EAST RANDOLPH STREET, 8TH FLOOR
CHICAGO, IL 60601		X			

Signatures		
/s/ Jennifer L. Kraft pursuant to a power of attorney from Aon Corporation		3/5/2004	
** Signature of Reporting Person		Date
	
/s/ Jennifer L. Kraft pursuant to a power of attorney from Virginia Surety Company		3/5/2004	
** Signature of Reporting Person		Date
	
/s/ Jennifer L. Kraft pursuant to a power of attorney from Combined Insurance Company of America		3/5/2004	
** Signature of Reporting Person		Date
	
/s/ Jennifer L. Kraft pursuant to a power of attorney from Resource Life Insurance Company		3/5/2004	
** Signature of Reporting Person		Date
	
/s/ Jennifer L. Kraft pursuant to a power of attorney from London General Insurance Company Ltd.		3/5/2004	
** Signature of Reporting Person		Date
	
/s/ Jennifer L. Kraft pursuant to a power of attorney from Sterling Life Insurance Company, Inc.		3/5/2004	
** Signature of Reporting Person		Date
	
/s/ Jennifer L. Kraft pursuant to a power of attorney from Combined Life Assurance Company of Europe Ltd.		3/5/2004	
** 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.