CISCO SYSTEMS INC
424B3, 1998-05-15
COMPUTER COMMUNICATIONS EQUIPMENT
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<PAGE>   1

                                        Filed Pursuant to Rule 424(b)(3) and (c)
                                                           File Number 333-51487

                    PROSPECTUS SUPPLEMENT DATED MAY 15, 1998
                                       to
                          Prospectus Dated May 6, 1998

                                   800 SHARES

                               CISCO SYSTEMS, INC.

                                  COMMON STOCK


          This Prospectus Supplement supplements the Prospectus dated May 6,
1998 (the "Prospectus") of Cisco Systems, Inc. (the "Company") relating to the
public offering, which is not being underwritten, and sale by certain
shareholders of the Company or by pledgees, donees, transferees or other
successors in interest that receive such shares as a gift, partnership
distribution or other non-sale related transfer (the "Selling Shareholders") of
800 shares of Common Stock, par value of $0.001 per share, of the Company (the
"Common Stock") who received such shares in connection with the acquisition by
statutory merger of NetSpeed, Inc. ("NetSpeed"), by and through a merger of
NetSpeed with and into the Company. This Prospectus Supplement should be read in
conjunction with the Prospectus, and this Prospectus Supplement is qualified by
reference to the Prospectus except to the extent that the information herein
contained supersedes the information contained in the Prospectus. Capitalized
terms used in this Prospectus Summary and not otherwise defined herein have the
meanings specified in the Prospectus.

                              SELLING SHAREHOLDERS

                   The following table sets forth the number of shares of Common
Stock owned by shareholders of the Company who were not specifically identified
in the Prospectus as Selling Shareholders. The table of Selling Shareholders in
the Prospectus is hereby amended to include the following shareholders as
Selling Shareholders:



<PAGE>   2

<TABLE>
<CAPTION>
                                                                                Number of
                                                                                 Shares
                                      Number of Shares       Percent of      Registered for
                                        Beneficially         Outstanding          Sale
Name of Selling Shareholder                 Owned              Shares           Hereby(1)
<S>                                          <C>               <C>                 <C>
Jesuit College Preparatory School            500                  *                500
Montserrat Jesuit Retreat House              300                  *                300
</TABLE>

* less than one percent
- --------
(1) This Registration Statement shall also cover any additional shares of Common
Stock which become issuable in connection with the shares registered for sale
hereby by reason of any stock dividend, stock split, recapitalization or other
similar transaction effected without the receipt of consideration which results
in an increase in the number of the Selling Shareholders' outstanding shares of
Common Stock.




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