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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(Print or Type Responses)

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) C/O RENAISSANCERE HOLDINGS LTD.,, RENAISSANCE HOUSE, 8-20 EAST BROADWAY 3. Date of Earliest Transaction (Month/Day/Year) 07/19/2006 (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 07/19/2006   F   13,562 (1) D $ 48.01 506,620 D   Common Stock 07/19/2006   A   46,135 (2) A $ 0 552,755 D   Common Stock               75,327 I by Partnership (3) Common Stock               4,668 I by Spouse Common Stock               12,121 I by Trust (4) Common Stock               12,120 I by Trust (5)

Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly.
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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)

$ 74.24

07/19/2006

D

700,000

08/31/2009

08/31/2014

Common Stock

700,000

(6)

0

D

Reporting Owners

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

Signatures

/s/ William I. Riker		07/20/2006
**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)	Represents exclusively shares withheld by the Issuer in respect of payment of withholding tax liability. See "Remarks."
(2)	These shares will vest in two equal annual installments beginning on July 19, 2007.
(3)	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.
(4)	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.
(5)	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.
(6)	These options were cancelled for value as explained under "Remarks."
Remarks: As disclosed in the Issuer's Current Report on Form 8-K, as filed with the Securities and Exchange Commission on July 21,  2006, on July 19, 2006 Mr. Riker entered into an amended and restated employment agreement with the Issuer providing for,  among other things, (i) the forfeiture of 700,000 "premium" stock options under the RenaissanceRe Holdings Ltd. 2004 Stock  Option Incentive Plan, (ii) a grant of 46,135 restricted shares and (iii) an adjustment to the vesting terms of 77,500  restricted shares originally granted to Mr. Riker in 2004 scheduled to "cliff vest" on the fifth anniversary of grant, such  that 50% of such shares vested on July 19, 2006 (resulting in the withholding of 13,562 shares in respect of payment of  withholding tax liability), with the balance of such shares vesting ratably on the third and fourth anniversary of the  original grant date.

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