Form: 3

Initial statement of beneficial ownership of securities

May 5, 2004

SEC Form 3
FORM 3 UNITED STATES SECURITIES AND EXCHANGE COMMISSION
Washington, D.C. 20549

INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES


Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934
or Section 30(h) of the Investment Company Act of 1940
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1. Name and Address of Reporting Person*
ODonnell Kevin
(Last) (First) (Middle)
RENAISSANCE HOUSE
8-12 EAST BROADWAY
(Street)
PEMBROKE HM 19, Bermuda
(City) (State) (Zip)
2. Date of Event Requiring Statement (Month/Day/Year)
05/01/2004 		3. Issuer Name and Ticker or Trading Symbol
RENAISSANCERE HOLDINGS LTD [ RNR ]
4. Relationship of Reporting Person(s) to Issuer
(Check all applicable)
Director 10% Owner
X Officer (give title below) Other (specify below)
SVP--Property Catastrophe
 5. If Amendment, Date of 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
Table I - Non-Derivative Securities Beneficially Owned
1. Title of Security (Instr. 4) 2. Amount of Securities Beneficially Owned (Instr. 4) 3. Ownership Form: Direct (D) or Indirect (I) (Instr. 5) 4. Nature of Indirect Beneficial Ownership (Instr. 5)
Common stock 25,171 D
Common stock 5,088 I Spouse
Common stock 162 I Family Trust(1)
Common stock 81,333 I Partnership(2)
Table II - Derivative Securities Beneficially Owned
(e.g., puts, calls, warrants, options, convertible securities)
1. Title of Derivative Security (Instr. 4) 2. Date Exercisable and Expiration Date (Month/Day/Year) 3. Title and Amount of Securities Underlying Derivative Security (Instr. 4) 4. Conversion or Exercise Price of Derivative Security 5. Ownership Form: Direct (D) or Indirect (I) (Instr. 5) 6. Nature of Indirect Beneficial Ownership (Instr. 5)
Date Exercisable Expiration Date Title Amount or Number of Shares
Non-qualified Stock Option (right to buy) 05/04/2001(3) 05/04/2010 Common stock 33,933 12.4 D
Non-qualified Stock Option (right to buy) 05/16/2003 05/16/2008 Common stock 636 37.87 D
Non-qualified Stock Option (right to buy) 05/16/2003 05/04/2010 Common stock 2,010 37.87 D
Non-qualified Stock Option (right to buy) 05/22/2003 06/23/2007 Common stock 6,702 37.73 D
Non-qualified Stock Option (right to buy) 05/22/2003 05/06/2008 Common stock 9,120 37.73 D
Non-qualified Stock Option (right to buy) 05/23/2003 05/14/2009 Common stock 599 37.73 D
Non-qualified Stock Option (right to buy) 11/06/2003 08/06/2006 Common stock 8,364 41.98 D
Non-qualified Stock Option (right to buy) 11/06/2003 06/23/2007 Common stock 1,980 41.98 D
Non-qualified Stock Option (right to buy) 11/06/2003 05/06/2008 Common Stock 625 41.98 D
Non-qualified Stock Option (right to buy) 11/06/2003 05/14/2009 Common stock 2,649 41.98 D
Non-qualified Stock Option (right to buy) 11/19/2003(3) 11/19/2012 Common stock 28,000 39.07 D
Non-qualified Stock Option (right to buy) 05/16/2004(3) 05/16/2013 Common stock 18,710 45.43 D
Non-qualified Stock Option (right to buy) 11/07/2004 05/04/2010 Common stock 17,641 45.38 D
Non-qualified Stock Option (right to buy) 03/03/2005(3) 03/03/2014 Common stock 37,588 52.9 D
Incentive Stock Option (right to buy) 05/04/2001(3) 05/04/2010 Common stock 8,067 12.4 D
Incentive Stock Option (right to buy) 03/03/2005(3) 03/03/2014 Common stock 7,412 52.9 D
Non-qualified Stock Option (right to buy) 05/16/2003 05/06/2008 Common stock 6,339 37.87 I Partnership(2)
Non-qualified Stock Option (right to buy) 05/16/2003 05/14/2009 Common stock 5,061 37.87 I Partnership(2)
Non-qualified Stock Option (right to buy) 05/16/2003 05/04/2010 Common stock 11,745 37.87 I Partnership(2)
Non-qualified Stock Option (right to buy) 11/06/2003 05/04/2010 Common stock 12,402 41.98 I Partnership(2)
Non-qualified Stock Option (right to buy) 05/14/2000 05/14/2009 Common stock 8,040 11.92 I Partnership(2)
Explanation of Responses:
1. These securities are held by a trust for the benefit of immediate family members of the reporting person.
2. These securities are owned and controlled by a family limited partnership for the benefit of immediate family members of the reporting person (the "Partnership") and may be deemed to be beneficially owned by the reporting person.
3. These securities vest in four equal annual installments starting the year they are granted. The Date Exercisable is the first vesting date of each individual option.
/s/ Kevin J. O'Donnell 05/04/2004
** 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 5 (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 Number.