AGREEMENT OF SUBSTITUTION AND AMENDMENT OF
                         COMMON SHARES RIGHTS AGREEMENT

         This Agreement of Substitution and Amendment is entered into as of
August 16, 2002, by and between Badger Meter, Inc., a Wisconsin corporation (the
"Company") and American Stock Transfer and Trust Company, a New York banking
corporation ("AST").

                                    RECITALS

A.       On May 26, 1998, the Company entered into a Common Shares Rights
         Agreements (the "Rights Agreement") with Firstar Trust Company (the
         "Predecessor Agent") as rights agent.

B.       The Company wishes to remove the Predecessor Agent and substitute AST
         as rights agent pursuant to Section 21 of the Rights Agreement.

C.       The Company has given the Predecessor Agent notice of removal of the
         Predecessor Agent as rights agent.

                                    AGREEMENT

         NOW THEREFORE, in consideration of the foregoing and of other
consideration, the sufficiency of which is hereby acknowledged, the parties
agree as follows:

1.       Section 21 of the Rights Agreement is hereby amended to provide that
         any successor rights agent shall, at the time of its appointment as
         rights agent, have a combined capital and surplus of at least $10
         million, rather than $50 million.

2.       The Company hereby appoints AST as rights agent pursuant to Section 21
         of the Rights Agreement, to serve in that capacity for the
         consideration and subject to all of the terms and conditions of the
         Rights Agreement.

3.       AST hereby accepts the appointment as rights agent pursuant to Section
         21 of the Rights Agreement and agrees to serve in that capacity for the
         consideration and subject to all of the terms and conditions of the
         Rights Agreement.

4.       From and after the effective date hereof, each and every reference in
         the Rights Agreement to a "Rights Agent" shall be deemed to be a
         reference to AST.





5.       Section 26 of the Rights Agreement is amended to provide that notices
         or demands shall be addressed as follows (until another address is
         filed):

If to the Company:
                  Badger Meter, Inc.
                  4545 West Brown Deer Road
                  P. O. Box 245036
                  Milwaukee, Wisconsin 53224-9536
                  Attn:  Chief Executive Officer

If to AST:
                  American Stock Transfer & Trust Company
                  59 Maiden Lane
                  New York, NY  10038
                  Attention:  Corporate Trust Department

6.       Except as expressly modified herein, all other terms and conditions of
         the Rights Agreement shall remain in full force and effect.

7.       This Agreement of Substitution and Amendment may be executed in one or
         more counterparts, each of which shall together constitute one and the
         same document.

         IN WITNESS WHEREOF, the parties have caused this Agreement to be duly
executed as of the date indicated above.



                                        By: /s/ Deirdre C. Elliott
                                           -------------------------------------

                                        Name:  Deirdre C. Elliott
                                               Vice President - Corporate Legal
                                               Counsel and Secretary


                                        AMERICAN STOCK TRANSFER & TRUST COMPANY

                                        By: /s/ Herbert J. Lemmer
                                           -------------------------------------

                                        Name:  Herbert J. Lemmer
                                               Vice President