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 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 * RIKER WILLIAM I   2. Issuer Name and Ticker or Trading Symbol RENAISSANCERE HOLDINGS LTD [RNR] 5. Relationship of Reporting Person(s) to Issuer (Check all applicable) __X__ Director _____ 10% Owner __X__ Officer (give title below) _____ Other (specify below) President (Last) (First) (Middle) RENAISSANCE HOUSE, 8-20 EAST BROADWAY 3. Date of Earliest Transaction (Month/Day/Year) 08/04/2006 (Street) PEMBROKE HM 19, BERMUDA  4. If Amendment, Date Original Filed(Month/Day/Year) 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 (Month/Day/Year) 2A. Deemed Execution Date, if any (Month/Day/Year) 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 Common Stock               552,755 D   Common Stock 08/04/2006   M   23,416 A $ 39.76 98,743 I by Partnership (1) Common Stock 08/04/2006   F   21,334 D $ 49.45 77,409 I by Partnership (1) Common Stock 08/04/2006   M   24,103 A $ 42.69 101,512 I by Partnership (1) Common Stock 08/04/2006   F   21,032 D $ 49.45 80,480 I by Partnership (1) Common Stock               4,668 I by Spouse Common Stock               12,121 I by Trust (2) Common Stock               12,120 I by Trust (3)

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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 (Month/Day/Year)

3A. Deemed Execution Date, if any (Month/Day/Year)

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 (Month/Day/Year)

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

Non-qualified Stock Option (right to buy)

$ 39.76

08/04/2006

M

23,416

12/26/2002

08/06/2006

Common Stock

23,416

(4)

0

I

by Partnership (1)

Non-qualified Stock Option (right to buy)

$ 42.69

08/04/2006

M

24,103

10/28/2002

08/06/2006

Common Stock

24,103

(4)

0

I

by Partnership (1)

Reporting Owners

Reporting Owner Name / Address	Relationships
	Director	10% Owner	Officer	Other
RIKER WILLIAM I RENAISSANCE HOUSE 8-20 EAST BROADWAY PEMBROKE HM 19, BERMUDA	X		President

Signatures

/s/ William I. Riker		08/07/2006
**Signature of Reporting Person		Date

Explanation of Responses:

*	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).
(1)	These securities are owned and controlled by a family limited partnership for the benefit of immediate family members of the reporting person and may be deemed to be beneficially owned by the reporting person.
(2)	These securities are owned and controlled by a trust for the benefit of the minor children of the reporting person and may be deemed to be beneficially owned by the reporting person.
(3)	These securities are owned and controlled by various trusts for the benefit of immediate family members of the reporting person and may be deemed to be beneficially owned be the reporting person.
(4)	Not Applicable.
Remarks: The transactions reported hereby relate to the exercise of employee stock options originally granted to the Reporting Person  on August 6, 1996 with a ten year term, and were exercised shortly prior to their scheduled expiration on August 6, 2006.

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