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 June, 2004

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

                                Montes Urales 460
                Col. Lomas de Chapultepec, Deleg. Miguel Hidalgo
                               11000, Mexico D.F.
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                     (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 June 18, 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: June 18, 2004                                    /s/ Jose Luis Riera
                                                    ----------------------------
                                                    Name:  Jose Luis Riera
                                                    Title: Attorney in fact

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


[LOGO] IUSACELL

       Pensamos en ti
                                                               Investor Contacts

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

                                                                J. Victor Ferrer
                                                                 Finance Manager
                                                                  5255-5109-5927
                                                         vferrer@iusacell.com.mx

Iusacell Informs

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Mexico City, June 18, 2004 - Grupo Iusacell,  S.A. de C.V. [BMV: CEL, NYSE: CEL]
informs that:

1.    In  respect  of a  financing  made  by BNP  Paribas  for  the  purpose  of
      purchasing microwave  transmission  equipment entered into in July 2000 by
      its subsidiary  Iusacell  Infraestructura  S.A. de C.V., it did not make a
      US$3.7 million  principal  payment due on June 15. This  non-payment is in
      addition to  non-payments  of US$3.7 million of principal that were due on
      each of June 16 and December 16, 2003.

2.    In respect of a credit line  granted by Harris S.A. de C.V. in August 2000
      for the purchase,  construction,  installation  and financing of microwave
      transmission  equipment,  it did not make a US$1.0  million  principal and
      interest due on June 15. This  non-payment is in addition to  non-payments
      of US$0.4  million of principal  that was due on June 16, 2003,  of US$0.2
      million of interest in the  aggregate  that were due on July and December,
      2003,  of US$0.8  million of principal  that was due on December 15, 2003,
      and of US$0.2  million of principal  and interest  that was due on January
      30, 2004.

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

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.