EXHIBIT 32.1

CERTIFICATION PURSUANT TO

18 U.S.C. ss.1350,

AS ADOPTED PURSUANT TO

SECTION 906 OF THE SARBANES-OXLEY ACT OF 2002

In connection with the Annual Report of TFF Pharmaceuticals, Inc. (the “Company”) on Form 10-K for the period ended December 31, 2020 as filed with the Securities and Exchange Commission on the date hereof (the “Report”), I, Glenn Mattes, the Chief Executive Officer, and Kirk Coleman, the Chief Financial Officer, of the Company, respectively, certify, pursuant to 18 U.S.C. §1350, as adopted pursuant to Section 906 of the Sarbanes-Oxley Act of 2002, that to my knowledge:

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 Company.

By:	/s/ Glenn Mattes	Dated: March 10, 2021
	Glenn Mattes
Title:	Chief Executive Officer (Principal Executive Officer)
By:	/s/ Kirk Coleman	Dated: March 10, 2021
	Kirk Coleman
Title:	Chief Financial Officer (Principal Financial and Accounting Officer)

This certification is made solely for the purposes of 18 U.S.C. Section 1350, subject to the knowledge standard contained therein, and not for any other purpose.