SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549

FORM 6-K

REPORT OF FOREIGN ISSUER

Pursuant to Rule 13a-16 or 15d-16 of

the Securities Exchange Act of 1934

For the month of JUNE 2021

TMM Group, Inc.

(Translation of registrant’s name into English)

Av. de la Cuspide No.4755, Colonia Parques del Pedregal, Delegacion Tlalpan,

Mexico City, C.P. 14010 Mexico

(Address of principal executive offices)

Indicate by check mark whether the registrant files or will file annual reports under cover Form 20-F or Form 40-F

Form 20-F  X        Form 40-F

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101 (b)(1):

Indicate by check mark if the registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule 101 (b)(7):

Indicate by check mark whether the registrant by furnishing the information contained in this Form is also thereby furnishing the information to the Commission pursuant to Rule 12g3-2(b) under the Securities Exchange Act of 1934.

Yes        No  X

If “Yes” is marked, indicate below the file number assigned to the registrant in connection with Rule 12g3-2(b):82-____ .

SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its behalf by the undersigned, thereunto duly authorized.

Date: June 1, 2021

By:

______________________________________

/s/ Luis Rodolfo Capitanachi Dagdug

Chief Financial Officer

This Form 6-K and the exhibit attached hereto are hereby incorporated by reference into the Registration Statement on Form F-3, Number 333-90710.

EXHIBIT INDEX

EXHIBIT 99.1: Press Release dated June 1, 2021 (GRUPO TMM REPORTS FIRST-QUARTER 2021 FINANCIAL RESULTS).

EXHIBIT 99.2: Brief Description of Notices to CNBV and BMV of Financial Statements for the First-Quarter 2021 Financial Results