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 July, 2004

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

                                Montes Urales 460
                Col. Lomas de Chapultepec, Deleg. Miguel Hidalgo
                               11000, 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 July 23, 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: July 26, 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                                               Jose Luis Riera K.
        Pensamos en it                                   Chief Financial Officer
                                                                  5255-5109-5927

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

--------------------------------------------------------------------------------
Second Quarter 2004 Results
--------------------------------------------------------------------------------

Mexico City, July 23, 2004 - Grupo Iusacell, S.A. de C.V. (Iusacell or the
Company) [BMV and NYSE: CEL] today announced unaudited financial results for the
second quarter ended June 30, 20041.

Financial Results

Revenue during the second quarter of 2004 decreased 4% from the previous quarter
to P$1,269 million due to lower handsets sales volume.  Revenues for the quarter
increased 7% compared to the second quarter in 2003 mainly due to higher handset
sales  volume,  offset  in part  by a 3%  decrease  in  service  revenues  due a
reduction in our rates to contend in the highly  competitive  Mexican market. As
of June 30, 2004, subscribers totaled approximately 1.3 million.

Cost of sales during the second  quarter of 2004 decreased 18% from the previous
quarter to P$704 million due to lower handset sales volume.  However,  this item
increased  101% from the second  quarter in 2003 mainly  driven by the change in
our  accounting  policy  adopted as of the third  quarter of 2003 whereby we now
expense the postpaid  handset-related  costs rather than  amortize them over the
average life of the postpaid  contracts,  and by higher costs  related to higher
traffic.

Operating  expenses  increased 55% during the second quarter of 2004 as compared
to the first  quarter of 2004,  primarily  due to other  income of P$95  million
reflected in the first quarter of 2004 in connection to the sale of 46 towers to
American Tower Corporation. The increase was also due, to a lesser extent, i) to
an increase of 6% in sales and advertising expenses mainly driven by an increase
in  temporary   sales   employees   ii)  an  increase  of  26%  in  general  and
administrative  expenses and iii) other loss related to sales of fixed assets of
P$5 million in the second quarter of 2004.  Excluding the other income generated
by the sales of  towers  in the  first  quarter  of 2004,  the  increase  of the
operating expense would had been 11%.

Operating expenses decreased 5% in the second quarter of 2004 in comparison with
the second quarter of 2003 mainly due to higher sales and  advertising  expenses
of 3% and a  reduction  of 27% in  administrative  expenses  as a result  of the
implementation of cost reduction measures.

Operating income before  depreciation  and  amortization  decreased 18% to P$188
million from P$228 million in the previous  quarter and also  decreased 58% from
the second quarter in 2003, both decreases due to the reasons  described  above.
Excluding the other income  generated by the sale of towers in the first quarter
of 2004 and the  other  loss from the sale of fixed  assets  during  the  second
quarter of 2004, our operating income before depreciation and amortization would
have increased 45% as compared to the previous quarter.

Depreciation  and  amortization  decreased 25% in the second  quarter of 2004 to
P$483 million  compared with the second quarter of 2003 reflecting the Company's
decision,  adopted  during the third  quarter of 2003, of expensing the postpaid
handset-related  costs rather than  amortizing them over the average life of the
postpaid contracts.

Operating  loss in the second  quarter of 2004  increased  10% to P$296  million
compared to the previous  quarter and increased  48% from the second  quarter in
2003, both as a result of the factors described above.

----------
1     Unless  otherwise  noted,  all monetary  figures are  expressed in Mexican
      pesos as of June 30, 2004 in accordance to Mexican GAAP.  The symbols "P$"
      and "US$" refer to Mexican pesos and U.S. dollars, respectively.


Integral  financing  cost during the second  quarter of 2004  increased to P$605
million from P$22 million  reflected during the previous quarter and an integral
financing gain of P$19 million during the same quarter of 2003.  This result was
mainly driven by an exchange  loss of P$357 million  caused by the effect on the
Company's U.S.  dollar-denominated  indebtedness of the depreciation of the peso
compared  with the  dollar,  and a monetary  gain of P$1  million  caused by the
effect on our net monetary position of a inflation experienced,  both during the
second quarter of 2004.

Net loss during the quarter  amounted to P$946  million.  This compares to a net
loss of P$346  million in the  previous  quarter and P$130  million in the first
quarter of 2003.

Capital expenditures:  Iusacell invested approximately US$11 million during this
quarter to expand coverage throughout its regions.

Recent Developments

Iusacell  launched 3rd  Generation  (3G)  services:  On July 14, 2004,  Iusacell
launched 3G Services; a 3G CDMA  third-generation  technology that offers a wide
range of multimedia  applications  that enables  subscribers to use their mobile
phones as a communication  tool that complements their  lifestyles.  Iusacell is
the first mobile telephone  company in Mexico to offer full coverage using third
generation technology.

Iusacell also integrated  QUALCOMM'S BREW solution to its system,  thus allowing
subscribers to surf and download a variety of applications, such as e-mail, ring
tones,  screen  savers,  games,  and  photo  transmission,  through  its  mobile
telephones.  Iusacell  plans to offer  video  transmission  features  under this
technology soon.

Debt Restructuring: As part of the Company's ongoing debt restructuring process,
the Company hired in March 2004 the services of Hill Street  Capital LLC, as its
financial  advisor.  Hill  Street  Capital  LLC is an  investment  banking  firm
established in New York, with experience  providing advice and assistance in the
execution of financial  strategy,  merger and acquisitions,  restructurings  and
raising of debt and equity.

The Company,  represented by its financial advisor,  has held discussions with a
group of its creditors aiming to reach a comprehensive  restructuring  agreement
in the shortest possible period.  However,  the Company can not predict if, when
or how such an  agreement  would  be  reached.  Given  its  difficult  financial
situation,  the  Company  does not plan to  service  the great  majority  of its
financial  indebtedness until a comprehensive  restructuring  agreement with its
creditors has been reached.

While  the  Company  works  with  its  advisors  towards  a  comprehensive  debt
restructuring  plan,  it continues  with its normal daily  operations,  offering
quality  products and services  that satisfy the need of its  customers,  with a
constant  commitment  to renew and  launch  new  products  and  state-of-the-art
technology services.

                                * * * * * * * * *

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.

Attached are the Consolidated Income Statements of each of Grupo Iusacell,  S.A.
de C.V. and Grupo  Iusacell  Celular,  S.A. de C.V. for the  three-month  period
ended June 30, 2004, and the Consolidated Balance Sheet of Grupo Iusacell,  S.A.
de C.V. and Grupo Iusacell Celular, S.A. de C.V. at June 30, 2004.


                    GRUPO IUSACELL CONSOLIDATED BALANCE SHEET
           COMPARISON OF SECOND QUARTER 2004 WITH SECOND QUARTER 2003
             (Figures in thousands of constant June 30, 2004 pesos)



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                                                                                                                              Change
                                                              2Q '04                            2Q '03                    2Q04 /2Q03
------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                
ASSETS
Current Assets
Cash and marketable securities                                 3,189           0.0%            128,560           0.9%         -97.5%
Accounts receivable, net                                     482,782           4.3%            509,882           3.5%          -5.3%
Related Parties                                               57,959           0.5%                  0           0.0%             -
Recoverable taxes and other                                  223,329           2.0%            667,017           4.5%         -66.5%
Inventories                                                  371,618           3.3%             53,911           0.4%         589.3%
TOTAL CURRENT ASSETS                                       1,138,877          10.1%          1,359,370           9.2%         -16.2%

Property and equipment, net                                7,197,393          63.9%          9,027,039          61.4%         -20.3%
Excess of cost of investments
in subsidiaries over book
value, net                                                 1,843,432          16.4%          2,075,284          14.1%         -11.2%
Other assets                                               1,085,340           9.6%          2,242,027          15.2%         -51.6%
TOTAL ASSETS                                              11,265,042         100.0%         14,703,720         100.0%         -23.4%

LIABILITIES AND SHAREHOLDERS'
EQUITY
Current Liabilities
Accrued liabilities                                        1,990,461          17.7%            950,563           6.5%         109.4%
Related parties                                               36,853           0.3%                  0           0.0%             -
Accounts payable                                             492,457           4.4%            204,636           1.4%         140.7%
Short-term debt                                            9,126,954          81.0%          8,479,298          57.7%           7.6%
TOTAL CURRENT LIABILITIES                                 11,646,725         103.4%          9,634,497          65.5%          20.9%

Non-current liabilities                                       95,583           0.8%            265,027           1.8%         -63.9%
TOTAL LIABILITIES                                         11,742,308         104.2%          9,899,524          67.3%          18.6%

Minority interest                                            -58,540          -0.5%              3,155           0.0%       -1955.5%
Shareholders' Equity
Capital stock                                              7,538,780          66.9%          7,538,780          51.3%           0.0%
Legal reserve                                                 21,187           0.2%             21,187           0.1%           0.0%
Capital contributions                                      1,483,522          13.2%          1,483,522          10.1%           0.0%
Net loss                                                  -1,291,372         -11.5%           -853,332          -5.8%          51.3%

Accumulated earnings from
prior years                                               -8,390,616         -74.5%         -3,608,889         -24.5%         132.5%

Excess from restatement of
shareholders' equity                                         219,773           2.0%            219,773           1.5%           0.0%

TOTAL SHAREHOLDERS' EQUITY                                  -418,726          -3.7%          4,801,041          32.7%        -108.7%

TOTAL LIABILITIES AND
SHAREHOLDERS' EQUITY                                      11,265,042         100.0%         14,703,720         100.0%         -23.4%
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                  GRUPO IUSACELL CONSOLIDATED INCOME STATEMENT
           COMPARISON OF SECOND QUARTER 2004 WITH SECOND QUARTER 2003
             (Figures in thousands of constant June 30, 2004 pesos)



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                                                                                                                              Change
                                                                  2Q '04                         2Q '03                    2Q04/2Q03
------------------------------------------------------------------------------------------------------------------------------------
                                                                                                              
REVENUE
Service                                                        1,094,439          86.2%       1,123,212          94.4%         -2.6%
Equipment sales and other                                        174,480          13.8%          67,090           5.6%        160.1%
     TOTAL REVENUE                                             1,268,919         100.0%       1,190,302         100.0%          6.6%

Cost of services                                                 432,540          34.1%         324,799          27.3%         33.2%
Other costs                                                      271,118          21.4%          24,618           2.1%       1001.3%
     TOTAL COSTS                                                 703,658          55.5%         349,417          29.4%        101.4%

GROSS MARGIN                                                     565,261          44.5%         840,885          70.6%        -32.8%

Sales & Advertising expenses                                     285,248          22.5%         277,745          23.3%          2.7%
General and administrative expenses                               87,794           6.9%         119,689          10.1%        -26.6%
Other  income                                                      4,592           0.4%               0           0.0%            -
     TOTAL OPERATING EXPENSES                                    377,634          29.8%         397,434          33.4%         -5.0%

OPERATING INCOME BEFORE DEPRECIATION AND
AMORTIZATION                                                     187,627          14.8%         443,451          37.3%        -57.7%

Depreciation and amortization                                    483,264          38.1%         642,660          54.0%        -24.8%
OPERATING LOSS                                                  -295,637         -23.3%        -199,209         -16.7%         48.4%

Other (income) expenses                                           -7,834          -0.6%         -72,218          -6.1%        -89.2%

Interest expense, net                                            249,014          19.6%         247,118          20.8%          0.8%
Foreign exchange loss (gain)                                     356,883          28.1%        -241,291         -20.3%        247.9%
Monetary correction                                                 -997          -0.1%         -24,732          -2.1%        -96.0%
     INTEGRAL FINANCING COST                                     604,900          47.7%         -18,905          -1.6%      -3299.7%

INCOME (LOSS) BEFORE TAXES AND
STATUTORY PROFIT SHARING COST                                   -892,703         -70.4%        -108,086          -9.1%        725.9%

Part (Income) loss Subsidiaries                                       24           0.0%            -193           0.0%       -112.4%
Taxes                                                             55,096           4.3%          25,048           2.1%        120.0%

NET  LOSS BEFORE MINORITY INTEREST                              -947,823         -74.7%         -132,941        -11.2%        613.0%

Minority interest                                                 -2,255          -0.2%          -3,174          -0.3%        -29.0%
NET LOSS                                                        -945,568         -74.5%        -129,767         -10.9%        628.7%
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                GRUPO IUSACELL CELULAR CONSOLIDATED BALANCE SHEET
           COMPARISON OF SECOND QUARTER 2004 WITH SECOND QUARTER 2003
             (Figures in thousands of constant June 30, 2004 pesos)



------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                              Change
                                                                  2Q' 04                          2Q `03                   2Q04/2Q03
------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                
ASSETS
Current Assets
Cash and marketable securities                                     3,072            0.0%         114,039            0.9%      -97.3%
Accounts receivable, net                                         478,557            4.8%         509,263            4.0%       -6.0%
Related parties                                                  211,329            2.1%          96,469            0.7%      119.1%
Recoverable taxes and other                                      177,473            1.8%         579,313            4.5%      -69.4%
Inventories                                                      371,618            3.7%          53,911            0.4%      589.3%
TOTAL CURRENT ASSETS                                           1,242,049           12.4%       1,352,995           10.5%      -8.2%

Property and equipment, net                                    6,448,593           64.5%       8,187,335           63.5%      -21.2%

Excess of cost of investments in
subsidiaries over book value, net                              1,660,544           16.6%       1,880,694           14.6%      -11.7%
Other assets                                                     650,156            6.5%       1,471,332           11.4%      -55.8%
TOTAL ASSETS                                                  10,001,342          100.0%      12,892,356          100.0%      -22.4%

LIABILITIES AND SHAREHOLDERS' EQUITY
Current Liabilities
Accrued liabilities                                              788,776            7.9%         470,146            3.6%       67.8%
Related parties                                                   36,810            0.4%               0            0.0%          -
Accounts payable                                                 419,041            4.2%         109,730            0.9%      281.9%
Short-term debt                                                4,787,959           47.9%       4,536,894           35.2%        5.5%
TOTAL CURRENT LIABILITIES                                      6,032,586           60.3%       5,116,770           39.7%       17.9%

Non-current liabilities                                              576            0.0%           3,921            0.0%      -85.3%
TOTAL LIABILITIES                                              6,033,162           60.3%       5,120,691           39.7%       17.8%

Minority interest                                                -58,540           -0.6%               0            0.0%          -

Shareholders' Equity
Capital stock                                                 16,815,389          168.1%      16,815,389          130.4%        0.0%
Legal reserve                                                     29,942            0.3%          29,942            0.2%        0.0%
Capital contributions                                            103,608            1.0%         103,608            0.8%        0.0%
Net loss                                                        -835,560           -8.4%        -469,488           -3.6%       78.0%
Accumulated earnings from prior years                         -11,344,733        -113.4%      -7,965,860          -61.8%       42.4%
Excess from restatement of
shareholders' equity                                            -741,926           -7.4%        -741,926           -5.8%        0.0%

TOTAL SHAREHOLDERS' EQUITY                                     4,026,720           40.3%       7,771,665           60.3%      -48.2%

TOTAL LIABILITIES AND
SHAREHOLDERS' EQUITY                                          10,001,342          100.0%      12,892,356          100.0%      -22.4%
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              GRUPO IUSACELL CELULAR CONSOLIDATED INCOME STATEMENT
           COMPARISON OF SECOND QUARTER 2004 WITH SECOND QUARTER 2003
             (Figures in thousands of constant June 30, 2004 pesos)



------------------------------------------------------------------------------------------------------------------------------------
                                                                                                                              Change
                                                                2Q '04                         2Q '03                      2Q04/2Q03
------------------------------------------------------------------------------------------------------------------------------------
                                                                                                              
REVENUE
Service                                                      1,112,098           86.5%      1,139,792         94.6%            -2.4%
Equipment sales and other                                      174,229           13.5%         64,614          5.4%           169.6%
TOTAL REVENUE                                                1,286,327          100.0%      1,204,406        100.0%             6.8%

Cost of services                                               467,744           36.4%        324,521         26.9%            44.1%
Other costs                                                    271,118           21.1%         24,618          2.0%          1001.3%
TOTAL COSTS                                                    738,862           57.4%        349,139         29.0%           111.6%

GROSS MARGIN                                                   547,465           42.6%        855,267         71.0%           -36.0%

Sales & Advertising expenses                                   282,825           22.0%        277,745         23.1%             1.8%
General and administrative expenses                             83,008            6.5%        118,183          9.8%           -29.8%
Other income                                                     4,573            0.4%              0          0.0%          -100.0%
TOTAL OPERATING EXPENSES                                       370,406           28.8%        395,928         32.9%            -6.4%

OPERATING INCOME BEFORE
DEPRECIATION AND AMORTIZATION                                  177,059           13.8%        459,339         38.1%           -61.5%

Depreciation and amortization                                  444,498           34.6%        598,133         49.7%           -25.7%
OPERATING LOSS                                                -267,439          -20.8%       -138,794        -11.5%            92.7%

Other (income) expenses                                         -7,834           -0.6%        -90,064         -7.5%           -91.3%
Interest expense, net                                           90,922            7.1%         97,381          8.1%            -6.6%
Foreign exchange loss (gain)                                   178,837           13.9%       -113,107         -9.4%          -258.1%
Monetary gain                                                     -881           -0.1%        -12,348         -1.0%           -92.9%
INTEGRAL FINANCING COST                                        268,878           20.9%        -28,074         -2.3%         -1057.7%

INCOME (LOSS) BEFORE TAXES AND
STATUTORY PROFIT SHARING COST                                 -528,483          -41.1%        -20,656         -1.7%          2458.5%

Equity in losses of subsidiaries                                    24            0.0%           -271          0.0%          -108.9%
Taxes                                                           49,693            3.9%         20,897          1.7%           137.8%

NET LOSS BEFORE
MINORITY INTEREST                                             -578,200          -44.9%        -41,282         -3.4%          1300.6%
Minority interest                                               -2,255           -0.2%           -830         -0.1%           171.7%
NET LOSS                                                      -575,945          -44.8%        -40,452         -3.4%          1323.8%
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