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

In connection with the Quarterly Report of American Tax Credit Properties III L.P. (the "Registrant") on Form 10-Q for the period ended June 29, 2017 as filed with the Securities and Exchange Commission on the date hereof (the "Report"), I, Brian Myers, Chief Executive Officer of Richman Housing Credits Inc., general partner of Richman Tax Credit Properties III L.P., general partner of the Registrant, certify, pursuant to 18 U.S.C. Section 1350, as adopted pursuant to Section 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 results of operations of the Registrant.

/s/Brian Myers

Brian Myers

Chief Executive Officer of Richman Housing

Credits Inc., general partner of Richman

Tax Credit Properties III L.P., general

partner of the Registrant

August 1, 2017

AMERICAN TAX CREDIT PROPERTIES III LP 10-Q