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                    PROSPECTUS SUPPLEMENT DATED JULY 24 1998
                         TO PROSPECTUS DATED MAY 6, 1998

                                                               Filed Pursuant to
                                                          Rule 424(b)(3) and (c)
                                                   Commission File No. 333-51487






                                   753 SHARES

                              [CISCO SYSTEMS LOGO]
                                  COMMON STOCK

         This Prospectus Supplement supplements the Prospectus dated May 6, 1998
(the "Prospectus") of Cisco Systems, Inc. ("Cisco" or 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
up to 753 shares of Cisco's Common Stock, par value $0.001 per share (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 information herein
contained supersedes the information contained in the Prospectus. Capitalized
terms used in this Prospectus Supplement and not otherwise defined herein have
the meanings specified in the Prospectus.

                              SELLING SHAREHOLDERS

         On July 6, 1998, James A. Johnson gifted 753 shares of Common Stock to
Shain McCaig, which person was not specifically named in the Prospectus. The
following table provides certain information with respect to the number of
shares of Common Stock beneficially owned by a shareholder of the Company who
was not specifically identified in the Prospectus as a Selling Shareholder, the
percentage of outstanding shares of Common Stock of the Company this represents
and the number of shares of Common Stock to be registered for sale hereby. The
table of Selling Shareholders in the Prospectus is hereby amended to include
Shain McCaig as a Selling Shareholder and to amend the information provided in
the Prospectus with respect to James A. Johnson to reflect the gift of 753
shares.



                                                           Number of                                   Number of
                                                             Shares              Percent of              Shares
                                                          Beneficially          Outstanding          Registered for
Name of Selling Shareholder                                 Owned(1)               Shares             Sale Hereby(1)
- ---------------------------                               ------------          -----------          ---------------
                                                                                              
James A. Johnson                                              5,325                  *                    5,325
Shain McCaig                                                    753                  *                      753



- ---------------------------

* Represents beneficial ownership of less than 1%.

(1)      The registration statement to which the Prospectus and this Prospectus
         Supplement relate 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 Company's outstanding shares of Common Stock.