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 March 27, 2003
                               ------------------

                            GRUPO IUSACELL, SA DE CV
--------------------------------------------------------------------------------
                 (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 __X__        No____





Documents Furnished By the Registrant
-------------------------------------

1. Press Release of the Registrant dated March 27, 2003



                                   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 27, 2003       /s/ Russell A. Olson
                           ------------------------------------
                           Name:   Russell A. Olson
                           Title:  Executive Vice President and Chief Financial
                                   Officer