UNITED STATES
                             SECURITIES AND EXCHANGE COMMISSION
                                   Washington, D.C. 20549

                                         FORM 24F-2
                              Annual Notice of Securities Sold
                                   Pursuant to Rule 24f-2

1.    Name and address of issuer:

       Oppenheimer Integrity Funds
      6803 S. Tucson Way
      Centennial, CO 80112

2.    Name of each series or class of securities for which this Form is filed (If the Form
      is being filed for all series and class of securities of the issuer, check the box but
      do not list series or classes): /  /

      Oppenheimer Core Bond Fund (formerly Oppenheimer Bond Fund)

3.    Investment Company Act File Number : 811-3420

      Securities Act File Number: 2-76547

4(a). Last day of fiscal year for which this Form is filed: 12/31/04

4(b). /  /  Check box if this Form is being filed late (i.e., more that 90 calendar days
      after the end of the issuer's fiscal year). (See instruction A.2)

4(c). /  /  Check box if this is the last time the issuer will be filing this Form.

5.    Calculation of registration fee:

      (i)   Aggregate sale price of securities sold during the fiscal
            year pursuant to section 24(f):
            $226,887,715

      (ii)  Aggregate price of securities redeemed or repurchased
            during the fiscal year:
            $320,371,208

      (iii) Aggregate price of securities redeemed or repurchased
            during any prior fiscal year ending no earlier than
            October 11, 1995 that were not previously used to reduce
            registration fees payable to the Commission:             $0

      (iv)  Total available redemption credits [add items 5(ii) and
            5(iii)]:
            $320,371,208

      (v)   Net sales - if Item 5(i) is greater than Item 5(iv)
            [subtract Item 5(iv) from Item 5(i)]:                    $0

      (vi)  Redemption credits available for use in future years -- if
            Item 5(i) is less than Item 5(iv) [subtract Item 5(iv from
            Item 5(i)]:
            $93,483,493

      (vii) Multiplier for determining registration fee (See
            Instructions C.9):                                    x
            .0001177

      (viii)
            Registration fee due [multiple Item 5(v) by Item 5(vii)]
            (enter "0" if no fee is due):                         = $0

            ============

6.    Prepaid Shares:

      If the response to Item 5(i) was determined by deducting an amount of securities
      that were registered under the Securities Act of 1933 pursuant to rule 24e-2 as in
      effect before October 11, 1997, then report the amount of securities (number of
      shares or other units) deducted here: -0-. If there is a number of shares or other
      units that were registered pursuant to rule 24e-2 remaining unsold at the end of the
      fiscal year for which this form is filed that are available for use by the issuer in
      future fiscal years, then state that number here: -0-.

7.    Interest due:                                               $-0-

      If this Form is being filed more than 90 days after the end of the issuer's fiscal
      year (see Instruction D): N/A

8.    Total of the amount of the registration fee due plus any interest due [line 5(viii)
plus line 7]:
                                                                  = $0

9.    Date the registration fee and any interest payment was sent to the Commission's
      lockbox depository: 03/25/04

      Method of Delivery:
      Fed Wire #

SIGNATURES

This report has been signed below by the following persons on behalf of the issuer and in
the capacities and on the dates indicated.


By:   /s/ Brian Petersen
Brian Petersen, Assistant Treasurer