1





                                  EXHIBIT 4(b)
                                  ------------

                  Form of Non-Qualified Stock Option Agreement


   2


                      NON-QUALIFIED STOCK OPTION AGREEMENT
                      ------------------------------------

         This Agreement (the "Agreement") is made as of the _____ day of
___________, between The Progressive Corporation, an Ohio corporation (the
"Company"), and [NAME] (the "Optionee"). The Company hereby grants Optionee an
option (the "Option") to purchase [TOTAL SHARES] Common Shares, $1.00 par value
(the "Common Shares"), of the Company for a per share purchase price of $ ______
(the "Option Price"). The Option has been granted pursuant to The Progressive
Corporation 1995 Incentive Plan (the "Plan") and shall include and be subject to
all provisions of the Plan, which are hereby incorporated herein by reference,
and shall be subject to the following provisions of this Agreement:

  1.     TERM. The Option shall become exercisable on ____________________ and
         may be exercised, in whole or in part, at any time thereafter until
         _____________, on which date the Option shall expire and no longer be
         exercisable.

  2.     METHOD OF EXERCISE. Subject to Section 1 above, the Option shall be
         exercisable from time to time by written notice (in form approved or
         furnished by the Company) to the Company which shall:

         (a)      state that the Option is thereby being exercised, the number
                  of Common Shares with respect to which the Option is being
                  exercised, each person in whose name any certificates for the
                  Common Shares should be registered and his or her address and
                  social security number;

         (b)      be signed by the person or persons entitled to exercise the
                  Option and, if the Option is being exercised by anyone other
                  than the Optionee, be accompanied by proof satisfactory to
                  counsel for the Company of the right of such person or persons
                  to exercise the Option under the Plan and all applicable laws
                  and regulations; and

         (c)      be accompanied by such representations, warranties and
                  agreements, in form and substance satisfactory to counsel for
                  the Company, with respect to the investment intent of such
                  person or persons exercising the Option as the Company may
                  request.

  3.     PAYMENT OF PRICE. Upon exercise of the Option, the Company shall
         deliver a certificate or certificates for the Common Shares purchased
         thereunder to the specified person or persons at the specified time
         upon receipt of the full purchase price for such Common Shares: (i) by
         certified or bank cashier's check, or (ii) by any other method of
         payment or combination thereof authorized by the Plan.

  4.     TRANSFERABILITY. The Option shall not be transferable by the Optionee
         other than by will or by the laws of descent and distribution. Subject
         to the following sentence, during the lifetime of the Optionee, the
         Option shall be exercisable (subject to any other applicable
         restrictions on exercise) only by the Optionee for his or her own
         account. Upon the death or disability of the Optionee, the Option shall
         be exercisable (subject to any other applicable restrictions on
         exercise) only by the Optionee's estate (acting through its fiduciary)
         or by the Optionee's duly authorized legal representative, during the
         period and to the extent authorized in the Plan.

  5.     TERMINATION OF EMPLOYMENT. If the employment of the Optionee by the
         Company (or any of its Subsidiaries or Affiliates) terminates:


   3



         (a)      due to involuntary termination without Cause or due to
                  retirement (with the employer's approval), the Option may be
                  exercised to the extent exercisable at the date of such
                  termination, during the lesser of (i) two months after such
                  date, or (ii) the balance of the Option's term;

         (b)      due to death or Disability, the provisions of Section 5(b)(6) 
                  or 5(b)(7) of the Plan, as applicable, shall apply;

         (c)      due to resignation by the Optionee, the Optionee may exercise
                  the Option, to the extent of the lesser of (A) the number of
                  Common Shares as to which the Option is exercisable on the
                  date the Optionee ceases to be an employee or (B) the number
                  of Common Shares as to which the Option was exercisable ninety
                  days prior to such date, reduced by any Common Shares acquired
                  by exercise of the Option within such ninety day period, at
                  any time within two (2) months after the date that the
                  Optionee ceases to be an employee (but in no event after
                  expiration of the original term of the Option) and the Option
                  shall not be or become exercisable as to any additional Common
                  Shares after the date that the Optionee ceases to be an
                  employee; and

         (d)      due to termination for Cause, the Option and all rights to
                  purchase Common Shares thereunder shall immediately terminate.

  6.     RESTRICTIONS ON EXERCISE. The Option is subject to all restrictions set
         forth in this Agreement or in the Plan. As a condition to any exercise
         of the Option, the Company may require the Optionee or his or her
         successor to make any representation or warranty to comply with any
         applicable law or regulation or to confirm any factual matters
         requested by counsel for the Company.

  7.     TAXES. The Optionee hereby agrees that he or she shall pay to the
         Company, in cash, any federal, state and local taxes of any kind
         required by law to be withheld with respect to the Option granted to
         him or her hereunder. If the Optionee does not make such payment to the
         Company, the Company shall have the right to deduct from any payment of
         any kind otherwise due to the Optionee from the Company (or from any
         Subsidiary or Affiliate of the Company), any federal, state and local
         taxes of any kind required by law to be withheld with respect to the
         Option, the exercise thereof or the Common Shares to be purchased by
         the Optionee under this Agreement. The Option shall not be treated as
         an incentive stock option under Section 422 or any successor Section
         thereto of the Internal Revenue Code of 1986, as amended.

  8.     DEFINITIONS. Unless otherwise defined in this Agreement, capitalized
         terms will have the same meanings given them in the Plan.

                                         THE PROGRESSIVE CORPORATION

DATE OF GRANT:                           BY:
              -------------------           ------------------------

                                         TITLE:
                                               ----------------------

   4



                             ACCEPTANCE OF AGREEMENT
                             -----------------------

         The Optionee hereby: (a) acknowledges receiving a copy of the Plan
Description dated ________________, relating to the Plan, and represents that he
or she is familiar with all of the material provisions of the Plan, as set forth
in the Plan Description; (b) accepts this Agreement and the Option granted to
him or her under this Agreement subject to all provisions of the Plan and this
Agreement; and (c) agrees to accept as binding, conclusive and final all
decisions or interpretations of the Committee relating to the Plan, this
Agreement or the Option granted hereunder.

                                          Optionee:
                                                   ----------------------------
                                          Date:
                                               ---------------------------------