EXHIBIT 32.1

CERTIFICATION PURSUANT TO

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

Pursuant to 18 U.S.C. §1350, the undersigned officer of Renaissance Capital Growth & Income Fund III, Inc. (the “Company”), hereby certifies, to such officer’s knowledge, that the Company’s Quarterly Report on Form 10-Q for the period ended June 30, 2008 (the “Report”), fully complies with the requirements of Section 13(a) or 15(d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company as of, and for, the periods presented in the Report.

Dated: August 13, 2008/s/ Barbe Butschek                    

                                                         Barbe Butschek
                                                         Chief Financial Officer

                                                         (Principal Financial Officer)

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.

The foregoing certification is being furnished as an exhibit to the Form 10-Q pursuant to Item 601(b)(32) of Regulation S-K and Section 906 of the Sarbanes-Oxley Act of 2002 (subsections (a) and (b) of Section 1350, Chapter 63 of Title 18, United States Code) and accordingly, is not being filed as part of the Form 10-Q for purposed of Section 18 of the Securities Exchange Act of 1934, as amended, and is not incorporated by reference into any filing of the Company, whether made before or after the date hereof, regardless of any general incorporation language in such filing.

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