EXHIBIT 32.1

      CERTIFICATION OF CHIEF EXECUTIVE OFFICER AND CHIEF FINANCIAL OFFICER
            PURSUANT TO SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002
                                 (18 U.S.C 1350)

      Each of the undersigned officers of Cole Credit Property Trust II, Inc.
(the "Company") hereby certifies, for purposes of Section 1350 of Chapter 63 of
Title 18 of the United States Code, as adopted pursuant to Section 906 of the
Sarbanes-Oxley Act of 2002, that, to his knowledge:

            (i) the accompanying Quarterly Report on Form 10-Q of the Company
      for the period ended June 30, 2005 (the "Report") fully complies with the
      requirements of Section 13(a) or Section 15(d), as applicable, of the
      Securities Exchange Act of 1934, as amended; and

            (ii) the information contained in the Report fairly presents, in all
      material respects, the financial condition and results of operations of
      the Company.

                                               /s/ Christopher H. Cole
                                          --------------------------------------
                                                 Christopher H. Cole
                                             Chief Executive Officer and
                                                      President

                                                 /s/ Blair D. Koblenz
                                          --------------------------------------
                                                   Blair D. Koblenz
                                             Executive Vice President and
                                               Chief Financial Officer

Date: August 12, 2005

      The foregoing certification is being furnished with the Company's 10-Q for
the period ended June 30, 2005 pursuant to 18 U.S.C. Section 1350. It is not
being filed for purposes of Section 18 of the Securities Exchange Act of 1934,
as amended, and it is not to be incorporated by reference into any filing of the
Company, whether made before or after the date hereof, regardless of any general
information language in such filing.

A signed original of this written statement required by Section 906 has been
provided to the Company and will be retained by the Company and furnished to the
Securities and Exchange Commission or its staff upon request.