Exhibit (a)(10)



RENAISSANCERE ANNOUNCES PRELIMINARY RESULTS OF TENDER OFFER

PEMBROKE, Bermuda--January 23, 1997--RenaissanceRe Holdings Ltd. (NYSE:
RNR) today announced that a preliminary count by ChaseMellon Shareholder
Services, L.L.C., the Depositary for the Company's Tender Offer, indicates that,
subject to final verification, approximately 1.9 million of its Common Shares
have been tendered for purchase and cancellation by the Company. The Tender
Offer commenced on December 23, 1996 and expired as scheduled at 12:00 midnight,
New York City time, on January 22, 1997.

The determination of the actual number of shares tendered is subject to
final confirmation and proper delivery of all shares tendered and not withdrawn,
including shares tendered pursuant to the guaranteed delivery procedures.

The Company will accept 813,190 Common Shares for purchase and
cancellation. All of the Common Shares tendered by Odd Lot Holders will be
accepted for purchase and cancellation. As a result of the oversubscription, the
number of shares to be purchased from each tendering shareholder, other than Odd
Lot Holders, will be subject to a proration factor of which the preliminary
estimate is 41.5 percent. Following the Tender Offer, the Company will have
approximately 22.8 million Common Shares outstanding.

Payment for shares properly tendered and accepted will be made as soon
as practicable, subject to proper delivery of shares, in accordance with the
terms of the Tender Offer.

RenaissanceRe Holdings Ltd., through its subsidiaries Renaissance
Reinsurance Ltd. and Glencoe Insurance Ltd., is a global provider of
reinsurance and insurance. The Company's principal product is property
catastrophe reinsurance.

CONTACT: Keith S. Hynes John D. Nichols
Senior Vice President and CFO AVP and Treasurer
(441) 295-4513 (441) 295-4513


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