UNITED STATES
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                    FORM 6-K

       REPORT OF FOREIGN PRIVATE ISSUER PURSUANT TO RULE 13a-16 or 15d-16
                   UNDER THE SECURITIES EXCHANGE ACT OF 1934

                         For the month of January, 2004

                          GRUPO IUSACELL, S.A. de C.V.
--------------------------------------------------------------------------------
                 (Translation of registrant's name into English)

                         Prol. Paseo de la Reforma 1236
                        Col. Santa Fe, Deleg. Cuajimalpa
                               05438, Mexico D.F.
--------------------------------------------------------------------------------
                     (Address of principal executive office)

Indicate by check mark whether the registrant files or will fill annual reports
under cover of Form 20-F or Form 40-F: Form 20-F [X] Form 40-F [ ]

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 12g-3-2(b) under the Securities and Exchange Act of
1934. Yes [ ] No[X]




Documents Furnished By the Registrant

1. Press Release of the Registrant dated January 19, 2004

                                   SIGNATURES

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

                                            GRUPO IUSACELL, S.A. DE C.V.

Date: January 19, 2004             /s/ Jose Ignacio Morales Elcoro
                                   ---------------------------------------------
                                            Name: Jose Ignacio Morales Elcoro
                                            Title: Attorney in fact

                                   /s/ Fernando Cabrera
                                   ---------------------------------------------
                                            Name: Fernando Cabrera
                                            Title: Attorney in fact




[LOGO] LUSACELL                                                INVESTOR CONTACTS

                                                              Jose Luis Riera K.
                                                         Chief Financial Officer
                                                                  5255-5109-5927

                                                             Carlos J. Moctezuma
                                                      Head of Investor Relations
                                                                  5255-5109-5759
                                                carlos.moctezuma@lusacell.com.mx

================================================================================
lusacell Announced
================================================================================

Mexico City, January 19, 2004 - Grupo Iusacell, S.A. de C.V. [BMV: CEL, NYSE:
CEL] ("Iusacell" or the "Company") announces today that its U.S. legal advisors
have now been advised by the legal advisors of certain holders of the notes due
2004 that notice of the complaint filed by the latter against its subsidiary,
Grupo Iusacell Celular, S.A. de C.V. (Iusacell Celular) had been served upon the
company through CT Corporation Services in New York City on Thursday, January
15, 2004. Notwithstanding the foregoing, the Company has yet to receive notice
of such service of process directly from CT Corporation.

                             **********************

About Iusacell
Grupo Iusacell, S.A. de C.V. (Iusacell, NYSE: CEL; BMV: CEL) is a wireless
cellular and PCS service provider in seven of Mexico's nine regions, including
Mexico City, Guadalajara, Monterrey, Tijuana, Acapulco, Puebla, Leon and Merida.
The Company's service regions encompass a total of approximately 92 million
POPs, representing approximately 90% of the country's total population.

Grupo Iusacell, S.A. de C.V. press releases and all other written materials may
from time to time contain statements about expected future events and financial
results that are forward-looking and subject to risks and uncertainties. For
those statements, the Company claims the protection of the safe harbor for
forward-looking statements contained in the Private Securities Litigation Reform
Act of 1995. Discussion of factors that may affect future results is contained
in our filings with the Securities and Exchange Commission.