STRALEM FUND INC
497J, 1998-05-08
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                               Stralem Fund, Inc.
                                 405 Park Avenue
                            New York, New York 10022

                                   May 7, 1998


VIA EDGAR
- ---------

Securities and Exchange Commission
450 Fifth Street, N.W.
Washington, D.C. 20549

Attention:        Division of Investment Management

                  Re:      Stralem Fund, Inc.
                           Post-Effective Amendment No. 39 to the
                           Registration Statement on Form N-1A;
                           Registration No. 2-34277; 811-1920
                           --------------------------------------

Dear Sir/Madam:

         Pursuant to Rule 497(j) under the  Securities  Act of 1933,  as amended
(the "1933 Act"), Stralem Fund, Inc. (the "Registrant") hereby certifies that:

                  (1)      the form of  prospectus  and  statement of additional
                           information  that would have been filed  pursuant  to
                           Rule  497(c)  under  the  1933  Act  would  not  have
                           differed  from  that   contained  in   Post-Effective
                           Amendment No. 39 to the Fund's Registration Statement
                           on Form N-1A,  constituting the most recent amendment
                           to the Fund's  Registration  Statement  on Form N-1A;
                           and

                  (2)      the text of  Post-Effective  Amendment  No. 39 to the
                           Fund's Registration  Statement on Form N-1A was filed
                           electronically   with  the  Securities  and  Exchange
                           Commission  on  April  29,  1998,   accession  number
                           0000922423-98-000429.

                                                 Very truly yours,

                                                 By:  /s/Philippe E. Baumann
                                                    ------------------------
                                                         Philippe E. Baumann
                                                         President




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