SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
                             ______________________

                                    FORM 6-K

                           REPORT OF A FOREIGN ISSUER
                        PURSUANT TO RULE 13A-16 OR 15D-16
                     OF THE SECURITIES EXCHANGE ACT OF 1934
                                 for April 2004

                             ______________________

                                ASML Holding N.V.

                                   De Run 6501
                                5504 DR Veldhoven
                                 The Netherlands
                    (Address of principal executive offices)
                             ______________________

Indicate by check mark whether the registrant files or will file 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 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):



Exhibits

99.1     "ASML Announces TWINSCAN XT:1400 for Dry or Wet Lithography," dated
         April 20, 2004.

99.2     "Q1 2004 Results," presentation dated April 21, 2004.

         "Safe Harbor" Statement under the U.S. Private Securities Litigation
Reform Act of 1995: the matters discussed in this document may include
forward-looking statements that are subject to risks and uncertainties
including, but not limited to, economic conditions, product demand and industry
capacity, competitive products and pricing, manufacturing efficiencies, new
product development, ability to enforce patents, the outcome of intellectual
property litigation, availability of raw materials and critical manufacturing
equipment, trade environment, and other risks indicated in filings with the U.S.
Securities and Exchange Commission.



                                   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.

                                           ASML HOLDING N.V. (Registrant)

Date: May 7, 2004                          By: /s/ Peter T.F.M. Wennink
                                               ____________________________
                                               Peter T.F.M. Wennink
                                               Executive Vice President
                                               and Chief Financial Officer