# FORM 6-K
SECURITIES AND EXCHANGE COMMISSION Washington, D.C. 20549

# Report of Foreign Private Issuer

# Pursuant to Rule 13a-16
or 15d-16of the Securities Exchange Act of 1934

For the month
  of January, 2005 Commission File Number 1-11080

THE ICA CORPORATION
HOLDING COMPANY(Translation of registrants name into English)

Minería No. #14511800 México D.F.
(Address of principal executive offices)

Form 20-F....X.....Form 40-F.........

Indicate by check mark if the
registrant is submitting the Form 6-K in paper as permitted by Regulation S-T Rule
101(b)(1): ____ 

Indicate by check mark if the registrant is submitting the Form 6-K in
paper as permitted by Regulation S-T Rule 101(b)(7): ____ 

Indicate by check mark whether by furnishing the information contained in this Form, the registrant is also thereby
furnishing the information to the Commission pursuant to Rule 12g3-2(b) under the
Securities Exchange Act of 1934.

Yes ..... No...X...

If Yes is marked, indicate
below the file number assigned to the registrant in connection with Rule 12g3-2(b): 82-
________

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| | PRESS
        RELEASE
| | ---------------------
|

|For more information contact:
      Ing. Alonso Quintana(5255) 5272-9991 x3653alonso.quintana@ica.com.mx
      Lic. Paloma Grediaga(5255) 5272-9991 x3664paloma.grediaga@ica.com.mx | in the United States: Zemi Communications
      Daniel Wilson
        (212) 689-9560d.b.m.wilson@zemi.com
|----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------- | ---------------------------------------------------------------------------------------------------------



# ICA SIGNS CONTRACTS FOR
Ps. 918 MILLION FOR THREE PROJECTS

Mexico City, January 11, 2005
 Empresas ICA Sociedad Controladora, S.A. de C.V. (BMV and NYSE: ICA), the
largest engineering, construction, and procurement company in Mexico announced today that
its civil construction subsidiary has signed three contracts with a total value of Ps. 918
million.

The contracts are:

| |  | IMSS General Hospital in Cancun, Quintana Roo for the Instituto Mexicano del Seguro
Social, the Mexican Social Security Institute, with 186 beds and an area of 39,345
m2. The project includes a three story main building, parking, and access
areas. The work is scheduled to last 15 months, and the value of the unit price contract
is Ps. 295 million.
| |  | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

| |  | Federal Justice Building in Puebla for the Consejo de la Judicatura Federal in Cholula,
Puebla. The office building project includes two levels of underground parking, a lobby,
15 floors of offices, and outside areas. The work is scheduled to be carried out over 24
months under a fixed price contract for Ps. 515 million.
| |  | ----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

Both projects include civil works,
masonry, finishing, exterior work, installation of electrical, water, sanitary, control,
and other special systems, as well as the installation of permanent equipment.

| |  | Civil work on Building B of the José Vasconcelos Library, for the Administrative
Committee of the Federal Schools Building Project (CAPFCE) in Mexico City. The modernist
building designed by the architect Alfredo Kalach includes both steel and concrete
elements, and has representative volumes of 800 tons and 7,000 m3,
respectively. The project will be executed over eight months under a Ps. 107.5 million
unit price contract.
| |  | -------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

ICA was founded in México in
1947. ICA has completed construction and engineering projects in 21 countries. ICAs
principal business units include civil construction and industrial construction. Through
its subsidiaries, ICA also develops housing, manages airports, and operates tunnels,
highways, and municipal services under government concession contracts and/or partial sale
of long-term contract rights. For more information, visitwww.ica.com.mx.







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SIGNATURE

Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this Report to be signed on its behalf by the undersigned, thereunto duly authorized.

Date: January 11, 2005

| | Empresas ICA Sociedad Controladora,
      S.A. de C.V.                                        
| | ----------------------------------------------------------------------------------------------
| |                                                                                               
| | /s/ JOSE LUIS GUERRERO
      Name: Dr. José Luis Guerrero
      Title: Vice President, Finance