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                                  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 _March, 2005

                          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]

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Documents Furnished By the Registrant

1. Press Release of the Registrant dated March 2, 2005



                                   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: March 2, 2005                                 By:    /s/ Fernando Cabrera
                                                           ---------------------
                                                    Name:  Fernando Cabrera
                                                    Title: Attorney in fact

                                                    By:    /s/ Jose Luis Riera
                                                           ---------------------
                                                    Name:  Jose Luis Riera
                                                    Title: Attorney in fact



                              IUSACELL ANNOUNCEMENT

    MEXICO CITY, March 2 /PRNewswire-FirstCall/ -- Grupo Iusacell, S.A. de
C.V., (BMV: CEL, NYSE: CEL), announced that this company does not have
knowledge of some relevant event that has motivated the movement of its shares
negotiated in the Mexican stock-market (BMV) today.

    About Iusacell

    Grupo Iusacell, S.A. de C.V. (Iusacell, NYSE and BMV: CEL) is a wireless
cellular and PCS service provider in Mexico encompassing a total of
approximately 92 million POPs, representing approximately 90% of the country's
total population.
    Independent of the negotiations towards the restructuring of its debt,
Iusacell reinforces its commitment with customers, employees and suppliers and
guarantees the highest quality standards in its daily operations offering more
and better voice communication and data services through state-of-the-art
technology, such as its new 3G network, throughout all of the regions in which
it operates.

    Legal Disclaimer

    Grupo Iusacell, S.A. de C.V. quarterly reports 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.

SOURCE  Grupo Iusacell, S.A. de C.V.
    -0-                             03/02/2005
    /CONTACT:  Investor Contacts - Jose Luis Riera K., Chief Financial
Officer, or J. Victor Ferrer, Finance Manager, vferrer@iusacell.com.mx, both
of Grupo Iusacell, S.A. de C.V., +5255-5109-5927 /
    /Web site:  http://www.iusacell.com /