FORM 6-K

SECURITIES AND EXCHANGE COMMISSION

Washington, D.C. 20549



Report of Foreign Private Issuer



Pursuant to Rule 13a-16 or 15d-16

of the Securities Exchange Act of 1934



For the month of June, 2006

Commission File Number 1-11080



THE ICA CORPORATION(Translation of registrant's name into English)

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



Indicate by check mark whether the registrant files or will file annual reports under cover Form 20-F or Form 40-F.

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
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For more information contact:



|Ing. Alonso Quintana        |                      
|--------------------------- | ---------------------
|(5255) 5272-9991 x3468      | in the United States:
|alonso.quintana@ica.com.mx  |                      
|                            |                      
|Lic. Paloma Grediaga        |                      
|(5255) 5272-9991 x3664      |                      
|paloma.grediaga @ica.com.mx |                      
|                            |                      







ICA DELAYS FILING OF ANNUAL REPORT TO JULY 15, 2006



Mexico City, June 29, 2006  Empresas ICA, S.A. de C.V. (BMV and NYSE: ICA), the largest engineering, construction, and procurement company in Mexico, announced today that it will delay the filing of its annual report, including the annual report on Form 20-F. The Company expects to file its annual report with the Mexican and New York Stock Exchanges and the Securities and Exchange Commission by July 15, 2006.



This decision has been taken as a result of the Companys continued evaluation of the accounting treatment under U.S. GAAP for consolidating certain of its joint venture subsidiaries  solely for purposes of the U.S. GAAP reconciliation of its financial statements that must be included in its annual report on Form 20-F.



Although the Companys management has been working diligently to complete all of the required information for its annual report on Form 20-F for the year ended December 31, 2005, and a substantial portion has been completed as of this date, the Company will not be able to complete its 2005 Form 20-F within the prescribed time period without unreasonable effort or expense.



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Empresas ICA was founded in 1947. ICAs principal lines of business are construction and engineering; housing; and infrastructure operations, including airports, toll roads, and municipal services. For more information please visit www.ica.com.mx.







|INVESTOR RELATIONS | www.ica.com.mx | 1/1
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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: June 29, 2006

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