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                       SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                               AMENDMENT NO. 1 TO
                                 SCHEDULE 13E-4

                          Issuer Tender Offer Statement
                          (Pursuant to Section 13(e)(1)
                     of the Securities Exchange Act of 1934)

                           RenaissanceRe Holdings Ltd.
                                (Name of Issuer)

                           RenaissanceRe Holdings Ltd.
                      (Name of Person(s) Filing Statement)

                                  Common Shares
                            Par Value $1.00 per Share
                         (Title of Class of Securities)

                                   G7496G 10 3
                      (CUSIP Number of Class of Securities)

                                James N. Stanard
                      President and Chief Executive Officer
                           RENAISSANCERE HOLDINGS LTD.
                                Renaissance House
                               8-12 East Broadway
                             Pembroke HM 19 Bermuda
                                 (441) 295-4513

                  (Name, Address and Telephone Number of Person
                Authorized to Receive Notices and Communications
                  on Behalf of the Person(s) Filing Statement)

                                    Copy to:
                               John S. D'Alimonte
                            Willkie Farr & Gallagher
                               One Citicorp Center
                              153 East 53rd Street
                            New York, New York 10022
                                 (212) 821-8000

                                December 23, 1996
                    (Date Tender Offer First Published, Sent
                          or Given to Security Holders)

                            CALCULATION OF FILING FEE

- --------------------------------------------------------------------------------
            Transaction Valuation*          Amount of Filing Fee
                $28,055,055.00                   $5,612.00
- --------------------------------------------------------------------------------

- --------------------------------------------------------------------------------
* Based upon the purchase of 813,190 Common Shares at $34.50 cash per share.

- --------------------------------------------------------------------------------
 Check here if any part of the fee is offset as provided by Rule  O-11(a)(2) and
identify the filing with which the offsetting fee was previously paid.  Identify
the previous filing by registration  statement  number,  or the Form of Schedule
and the date of its filing.

- --------------------------------------------------------------------------------
Amount Previously Paid:  $5,612.00
- --------------------------------------------------------------------------------
Form or Registration No.:  Schedule 13E-4
Filing Party:  RenaissanceRe Holdings Ltd.
- --------------------------------------------------------------------------------
Date Filed:  December 23, 1996



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         This Amendment No. 1 (the "Final Amendment") amends and supplements the
Issuer  Tender  Offer  Statement  on  Schedule  13E-4 (the  "Statement"),  dated
December 23, 1996, filed by RenaissanceRe  Holdings Ltd., a Bermuda company (the
"Company"),  relating  to the  Company's  offer to purchase up to 813,190 of its
Common Shares, par value $1.00 per share (the "Shares"),  at a purchase price of
$34.50 per Share,  net to the seller in cash,  upon the terms and subject to the
conditions set forth in the Company's  Offer to Purchase dated December 23, 1996
and the related Letter of Transmittal  (which together  constitute the "Offer"),
copies of which are attached as Exhibits 9(a)(1) and 9(a)(2),  respectively,  to
the Statement.  This Final Amendment is being filed by the Company in connection
with  the  expiration  of the  Offer.  Capitalized  terms  used  herein  but not
otherwise  defined shall have the respective  meanings assigned to such terms in
the Offer to Purchase.

Item 1.  Security and Issuer.

         The Offer expired as scheduled at 12:00  midnight,  New York City time,
on January 22,  1997.  Pursuant  to the Offer,  1,941,575  Shares  were  validly
tendered and not  withdrawn.  The Company  accepted  for payment  813,190 of the
Shares  tendered at a purchase  price of $34.50 per Share,  net to the seller in
cash, for a total aggregate  purchase price of  $28,055,055.  As a result of the
oversubscription,   the  number  of  Shares   purchased   from  each   tendering
shareholder,  other than Odd-Lot  Holders,  was subject to a proration factor of
41.71216 percent.  After purchasing such Shares for cancellation pursuant to the
Tender  Offer,  the  Company  will  have   approximately   22.7  million  Shares
outstanding.

Item 8.  Additional Information.

         On January  23,  1997,  the Company  issued a press  release (a copy of
which is  attached  hereto  as  Exhibit  9(a)(10)  and  incorporated  herein  by
reference)  announcing that, based upon the preliminary results of the Offer, it
would accept 813,190 Shares for purchase and cancellation at a purchase price of
$34.50 per Share,  net to the seller in cash, and accordingly  estimated that if
all  Shares  subject to  guaranteed  delivery  procedures  were  delivered,  the
preliminary  proration  factor  applicable  to the Offer would be  approximately
41.5%.  On January 29, 1997, the Company issued a press release (a copy of which
is attached  hereto as Exhibit  9(a)(11) and  incorporated  herein by reference)
announcing that the Company had accepted for purchase and  cancellation  813,190
Shares at $34.50 per Share,  net to the seller in cash, in  accordance  with the
terms of the Offer and prorated such 813,190 Shares  purchased for  cancellation
in the  Offer in the  manner  described  in the  Offer to  Purchase.  All of the
approximately 5,691 Shares validly tendered and not withdrawn by Odd Lot Holders
were accepted for purchase and cancellation. The Company also announced that the
proration factor applicable to the Offer was 41.71216%.



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Item 9.  Material to be Filed as Exhibits.

         Item 9 is hereby amended to include the following additional exhibits:

         (a)(10)           Press Release issued by the Company, dated
                           January 23, 1997.

         (a)(11)           Press Release issued by the Company, dated
                           January 29, 1997.



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                                    SIGNATURE

                  After due inquiry and to the best of my knowledge  and belief,
I certify that the information set forth in this statement is true, complete and
correct.

                                              By:  /s/ Keith S. Hynes
                                              Name:    Keith S. Hynes
                                              Title:   Senior Vice President
                                                         and Chief Financial
                                                         Officer


Dated:   January 30, 1997



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                                  EXHIBIT INDEX


Exhibit No.       Description

(a)(10)           Press Release issued by the Company, dated January 23, 1997.

(a)(11)           Press Release issued by the Company, dated January 29, 1997.




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                                                                 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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                                                                 Exhibit (a)(11)

              RENAISSANCERE ANNOUNCES FINAL RESULTS OF TENDER OFFER

         PEMBROKE, Bermuda--January 29, 1997--RenaissanceRe Holdings Ltd. (NYSE:
RNR) today  announced  that a final count by ChaseMellon  Shareholder  Services,
L.L.C., the Depositary for the Company's Tender Offer,  indicates that 1,941,575
of its Common Shares were validly  tendered and not withdrawn.  The Tender Offer
commenced  on  December  23, 1996 and expired as  scheduled  at 12:00  midnight,
Eastern Standard time on January 22, 1997.

         The  Company   accepted   813,190   Common   Shares  for  purchase  and
cancellation.  All of the 5,691 Common Shares  tendered by odd-lot  holders were
accepted for purchase and cancellation. As a result of the oversubscription, the
number of shares purchased from each tendering  shareholder,  other than odd-lot
holders,  were subject to a proration  factor of which the final  calculation is
41.71216 percent.  After purchasing such shares for cancellation pursuant to the
Tender Offer,  the Company will have  approximately  22.7 million  Common Shares
outstanding.

         Payment for shares properly  tendered and accepted will be made as soon
as  practicable.  The  Depositary  for the Tender  Offer will  promptly  execute
settlement of the purchase price for the shares  purchased for  cancellation  by
the Company. Shares that were tendered but not purchased by the Company pursuant
to the Tender Offer, will be returned to shareholders promptly.

         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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