EX-99.906CERT

Section 906 Certifications

                CERTIFICATION PURSUANT TO 18 U.S.C SECTION 1350,
                             AS ADOPTED PURSUANT TO
                 SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

John V. Murphy, Principal Executive Officer, and Brian W. Wixted, Principal
Financial Officer, of Oppenheimer Integrity Funds (the "Registrant"), each
certify to the best of his or her knowledge that:

1.    The Registrant's periodic report on Form N-CSR for the period ended June
      30, 2005 (the "Form N-CSR") fully complies with the requirements of
      Section 15(d) of the Securities Exchange Act of 1934, as amended; and

2.    The information contained in the Form N-CSR fairly presents, in all
      material respects, the financial condition and results of operations of
      the Registrant. This certification is being furnished to the Commission
      solely pursuant to 18 U.S.C. ss. 1350 and is not being filed as part of
      the Form N-CSR filed with the Commission.

Principal Executive Officer                          Principal Financial Officer

Oppenheimer Integrity Funds                          Oppenheimer Integrity Funds

/s/ John V. Murphy                                   /s/ Brian W. Wixted
- -------------------------                            ---------------------------
John V. Murphy                                       Brian W. Wixted

Date: August 10, 2005                                Date: August 10, 2005