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 May 2004

Commission File Number 001-31269

ALCON, INC.
(Translation of registrant’s name into English)


Bösch 69
P.O. Box 62
6331 Hünenberg, Switzerland
41-41-785-8888
(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-______

Incorporation by Reference

This Report of Foreign Issuer on Form 6-K shall be incorporated by reference into the Registration Statement on Form S-8 filed with the Securities and Exchange Commission on April 24, 2002, the Registration Statement on Form S-8 filed with the Securities and Exchange Commission on October 25, 2002 and amended on December 12, 2003 and the Registration Statement on Form S-8 filed with the Securities and Exchange Commission on December 12, 2003.

Attached as Exhibit 99.1 is the Press Release issued by Alcon, Inc. on May 20, 2004.

SIGNATURES

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.

	Alcon, Inc. (Registrant)
Date May 25, 2004	By /s/ Guido Koller Name: Guido Koller Title: Senior Vice President
Date  May 25, 2004	By /s/ Stefan Basler Name: Stefan Basler Title: Attorney-in-Fact