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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 June, 2006

                          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 June 16, 2006

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                               IUSACELL ANNOUNCES

    MEXICO CITY, June 16 /PRNewswire/ -- Grupo Iusacell, S.A. de C.V. [BMV: CEL]
("Iusacell") announced today that in accordance with its outstanding U.S.$350
million 14.25% notes due 2006 (the "Existing 06 Notes") it has accepted all the
tenders submitted by holders of Existing 06 Notes and related consents granted
to execute its plan of reorganization in Mexico in the context of the exchange
offer and consent solicitation relating to such notes, which was launched on
April 18, 2006 and expired on June 1, 2006. Final confirmation of the tender and
consent documentation will be done by Iusacell's advisors.

    THIS PRESS RELEASE IS NOT AN OFFER FOR SALE OF THE SECURITIES IN THE UNITED
STATES, MEXICO OR IN ANY OTHER JURISDICTION, AND NONE OF THE SECURITIES TO BE
ISSUED PURSUANT TO THE EXCHANGE OFFER, IF CONSUMMATED, MAY BE SOLD IN THE UNITED
STATES ABSENT REGISTRATION OR AN EXEMPTION FROM REGISTRATION UNDER THE
SECURITIES ACT OF 1933, AS AMENDED, OR IN ANY OTHER JURISDICTION WHERE SUCH SALE
IS PROHIBITED. THE COMPANY DOES NOT INTEND TO REGISTER ANY OF THE SECURITIES TO
BE ISSUED PURSUANT TO THE EXCHANGE OFFER IN THE UNITED STATES OR TO CONDUCT A
PUBLIC OFFERING OF SUCH SECURITIES IN ANY JURISDICTION OTHER THAN THOSE AS IT
MAY FROM TIME TO TIME PUBLISH.

    About Iusacell

    Grupo Iusacell, S.A. de C.V. (Iusacell, BMV: CEL) is a wireless cellular and
PCS service provider in Mexico with a national footprint. Iusacell offers 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 operate. In addition to our core mobile telephony services, we also provide a
wide range of other telecommunications services, including long distance,
wireless local telephony and data transmission services. Additional information
is available at www.iusacell.com

    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-                             06/16/2006
    /CONTACT:  Investors, Jose Luis Riera K., Chief Financial Officer,
5255-5109-5927, or J. Victor Ferrer, Finance Manager, 5255-5109-5273,
vferrer@iusacell.com.mx, both of Grupo Iusacell/
    /Web site:  http://www.iusacell.com /

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                                   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 16, 2006
                                                    /s/ Fernando Cabrera
                                                    ----------------------------
                                            Name:   Fernando Cabrera
                                            Title:  Attorney in fact


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

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