FORM 6-K

                                  UNITED STATES
                       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 2004


                             Commtouch Software Ltd.
                 (Translation of registrant's name into English)

                                1A Hazoran Street
                      Poleg Industrial Park, P.O. Box 8511
                              Netanya 42504, Israel
                               011-972-9-863-6888
                    (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
                           ----------                 ----------





                             COMMTOUCH SOFTWARE LTD.
                                    FORM 6-K

Forward-Looking Statements

This  Report  on  Form  6-K  contains  forward-looking   statements,   including
projections  about our  business,  within  the  meaning  of  Section  27A of the
Securities Act of 1933 and Section 21E of the  Securities  Exchange Act of 1934.
For example, statements in the future tense, and statements including words such
as "expect," "plan,"  "estimate,"  anticipate," or "believe" are forward-looking
statements.  These  statements are based on  information  available to us at the
time of the  Report;  we  assume  no  obligation  to  update  any of  them.  The
statements in this Report are not  guarantees of future  performance  and actual
results could differ  materially  from our current  expectations  as a result of
numerous factors,  including business  conditions and growth or deterioration in
our  market,  commerce  and  the  general  economy  both  domestic  as  well  as
international;  fewer  than  expected  new-partner  relationships;   competitive
factors including pricing pressures;  technological  developments,  and products
offered by  competitors;  availability  of qualified  staff for  expansion;  and
technological  difficulties and resource  constraints  encountered in developing
new products as well as those risks described in the company's Annual Reports on
Form 20-F and reports on Form 6-K, which are available through www.sec.gov.


First Quarter 2004 Results

Attached  hereto  and  incorporated  by  reference  herein is our press  release
announcing the results of Q1 for 2004.


Information Incorporated by Reference

The information in this Report on Form 6-K is incorporated by reference into all
Registration  Statements which we have filed or which we will file in the future
under the Securities Act of 1933, as amended, which permit such reports to be so
incorporated.





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.

                                                   COMMTOUCH SOFTWARE LTD.
                                                         (Registrant)


Date: June 29, 2004                         By       /s/ DEVYANI PATEL
                                               ---------------------------------
                                                         Devyani Patel
                                                         VP Finance





                                  Exhibit Index

Exhibit Number                      Description of Exhibit
--------------                      ----------------------

1                                Press release of May 17, 2004