SECURITIES AND EXCHANGE COMMISSION
                                    Washington, DC 20549

                                        SCHEDULE TO

                 Tender Offer Statement Under Section 14(d)(1) or 13(e)(1)
                           of the Securities Exchange Act of 1934

                                     (Final Amendment)

                           OFI Tremont Core Strategies Hedge Fund
                                      (Name of Issuer)

                           OFI Tremont Core Strategies Hedge Fund
                            (Name of Person(s) Filing Statement)

                               Shares of Beneficial Interest
                               (Title of Class of Securities)

                                         67084K103
                           (CUSIP Number of Class of Securities)

                                  Lisa I. Bloomberg, Esq.
                                 Two World Financial Center
                               225 Liberty Street, 11th Floor
                               New York, New York 10281-1008
                                       (212) 323-0560
            (Name, Address and Telephone Number of Person Authorized to Receive
          Notices and Communications on Behalf of the Person(s) Filing Statement)

                                 CALCULATION OF FILING FEE

-------------------------------------------------------------------------------
 Transaction Valuation: $59,687,483a    Amount of Filing Fee: $7,025b
-------------------------------------------------------------------------------

     (a)  Calculated as the aggregate  maximum  purchase  price for  twenty-five
percent of the Issuer's  outstanding shares of beneficial  interest based on the
estimated total net asset value of the Issuer's outstanding shares of beneficial
interest as of June 30, 2005.

(b)  Calculated at 0.00011770% of the Transaction Valuation.

     [ ] Check  the box if any part of the fee is  offset  as  provided  by Rule
0-11(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
or Schedule and the date of its filing.

Amount Previously Paid:  $7,025
Form or Registration No.:  005-79312
Filing Party:  OFI Tremont Core Strategies Hedge Fund
Date Filed:  July 29, 2005

     [  ]  Check  the  box  if  the  filing   relates   solely  to   preliminary
communications made before the commencement of a tender offer.

Check the  appropriate  boxes below to designate  any  transactions  to which the  statement
relates:

[  ]  third-party tender offer subject to Rule 14d-1.
[ x]  issuer tender offer subject to Rule 13e-4.
[  ]  going-private transaction subject to Rule 13e-3.
[  ]  amendment to Schedule 13D under Rule 13d-2.

     Check the  following box if the filing is a final  amendment  reporting the
results of the tender offer: [x]

     This Final  Amendment  relates  to the Issuer  Tender  Offer  Statement  on
Schedule TO (the  "Statement")  originally filed on July 29, 2005 by OFI Tremont
Core  Strategies  Hedge  Fund (the  "Fund")  in  connection  with an offer  (the
"Offer")  by  the  Fund  to  purchase  $59,687,483  of  interests  in  the  Fund
("Interests")  on the  terms  and  subject  to the  conditions  set forth in the
Repurchase  Offer Notice and the related Letter to Repurchase  Offer.  Copies of
the Repurchase Offer Notice and Letter to Repurchase Offer were previously filed
as Exhibits (a)(1)(i) and (a)(1) (ii) to the Statement.

     This is the Final  Amendment to the  Statement and is being filed to report
the results of the offer.  Capitalized  terms not otherwise defined herein shall
be the meanings ascribed to them in the Repurchase Offer Notice.

      The following information is furnished pursuant to Rule 13e-4(c)4:

      1. The Offer expired at 12:00 midnight, New York time, on August 31, 2005.

      2. $15,322,694 in Interests were validly tendered and not withdrawn prior to the
         expiration of the Offer, and all of those Interests were accepted for purchase,
         and paid for, by the Fund in accordance with the terms of the Offer.

                                         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.

                                    OFI Tremont Core Strategies Hedge Fund


                                          /s/ Lisa I. Bloomberg
                                    By:______________________________________
                                          Name: Lisa I. Bloomberg
                                          Title:   Assistant Secretary

Date:  November 18, 2005