Exhibit 32.1

| In      connection with the Annual Report of Independence Tax Credit Plus L.P. III      on Form 10-K for the year ended March 31, 2008 as filed with the      Securities and Exchange Commission (“SEC”) on the date hereof (the      “Report”), I, Robert L. Levy, and I, Andrew J. Weil, certify, pursuant to      18 U.S.C. § 1350, as adopted pursuant to § 906 of the Sarbanes-Oxley Act      of 2002, that: |
|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
| (1) The      Report fully complies with the requirements of section 13(a) or 15(d) of      the Securities Exchange Act of 1934; and                                                                                                                                                                                                                                                                                                            |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
| (2) The      information contained in the Report fairly presents, in all material      respects, the financial condition and result of operations of the      registrant.                                                                                                                                                                                                                                                                      |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
| A      signed original of this written statement required by Section 906 has been      provided to the registrant and will be retained by the registrant and      furnished to the SEC or its staff upon request.                                                                                                                                                                                                                                   |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                |   |   |   |   |   |   |   |   |
| By:                                                                                                                                                                                                                                                                                                                                                                                                                                                 | /s/ Robert L.      Levy |   |   |   |   |   | By: | /s/ Andrew J.      Weil |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                | Robert      L. Levy |   |   |   |   |   |   | Andrew      J. Weil |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                | Chief      Financial Officer |   |   |   |   |   |   | Chief      Executive Officer |
|                                                                                                                                                                                                                                                                                                                                                                                                                                                | June      20, 2008 |   |   |   |   |   |   | June      20, 2008 |

----