Nll/secmtrs/10kexhpjsagr

                                                                    Exhibit 10.6

                                    AGREEMENT

     This  Agreement is made and entered into as of May 17, 1995, by and between
National Semiconductor  Corporation,  a Delaware corporation (the "Company") and
Peter J. Sprague ("Sprague").

                                    Recitals

     Sprague  has served as Chairman  of the Board of  Directors  of the Company
since 1965.  Sprague now intends to retire as a member of the Board of Directors
and as Chairman of the Board.

     In  recognition  of his many  years of  service as a member of the Board of
Directors  and as  Chairman,  the Company  wishes to  compensate  Sprague in his
retirement and to retain him as an independent consultant to the Company.

                                    Agreement

     Now, therefore, it is agreed as follows:

     1. Retirement: Sprague hereby resigns as a member of the Board of Directors
of the Company and as Chairman of the Board of Directors  immediately  effective
as of the date of this Agreement.

     2.  Compensation:  In  recognition  of Sprague's many years of service as a
member of the Board of  Directors  of the  Company and as Chairman of the Board,
the Company hereby agrees to the following  compensation for such retirement and
for services rendered to the Company as an independent consultant as provided in
paragraph 4 hereof:

     a. The Company shall pay to Sprague an annual  amount of $250,000,  payable
     in equal  monthly  installments,  for a period of ten (10)  years (the last
     payment to be made in May 2005).

     b. The outstanding  indebtedness (principal and interest) of Sprague to the
     Company  as a  result  of the  loan  made by the  Company  to  Sprague  and
     evidenced  by that  certain  Promissory  Note dated  April 20,  1989,  (the
     "Note"), with a balance currently outstanding of approximately $450,000, is
     hereby canceled and forgiven and deemed paid in full as of the date hereof.

     c. To the  extent  that the  forgiveness  of the  Note and the  outstanding
     balance  thereunder  as  provided  above,  gives rise to state and  federal
     income tax,  the  Company  agrees to make a payment to Sprague in an amount
     sufficient  to cover such tax on the  forgiveness  as well as the resulting
     tax on such  payment  (the  "Tax  Gross  Up").  The Tax  Gross  Up shall be
     calculated in accordance with the Company's  standard practice and shall be
     paid by the Company  directly to Sprague within 30 days of the date of this
     Agrement.  The Company  shall have no further  obligation  with  respect to
     taxes  arising  from  forgiveness  of the Note and the Tax  Gross  Up,  and
     payment of such taxes shall be solely the responsibility of Sprague.

     d. As provided in paragraph 3 hereof, the Company shall grant to Sprague an
     option to  purchase  300,000  shares of the  Company's  Common  Stock at an
     exercise  price per share equal to the opening price of the Common Stock on
     the New York Stock Exchange on the date of grant (the  "Option").  The date
     of grant of the Option shall be the next business day following the date of
     execution of this Agreement.

     Except as  provided  by the Tax Gross Up,  all  compensation  and  benefits
(including the Option) to Sprague under this  agreement  shall be reduced by all
federal,  state,  local and other  withholdings  and similar  taxes and payments
required by applicable law.

     3. The Option.  The Option shall be evidenced by an option agreement in the
form attached hereto as Exhibit A (the "Option Agreement"). The Option Agreement
shall be executed  simultaneously  with the execution of this  Agreement.  Among
other things,  the Option  Agreement  provides for the following:

     a. The Option shall be exercisable in  installments to the extent of 25% of
     the total number of shares subject to the Option after each  anniversary of
     the date of the Option Agreement.

     b. The Option shall have a term of ten (10) years.

     c. The Option and any shares of Common Stock purchased upon exercise of the
     Option  shall  be  acquired  for  investment  and not  with a view  towards
     distribution.

     d. The Company shall use its reasonable  efforts to register the Option and
     the  underlying  shares  of  Common  Stock  on  Form  S-8  as  promptly  as
     practicable,  but only to the  extent  that Form S-8 is  available  and the
     Option is eligible for such registration.

     e. The Option shall be non-transferable by Sprague.

     4. Consultant.  During the term of the consulting  arrangement as set forth
below,  Sprague  agrees to provide  consulting  services to the Company upon the
reasonable  request of the Chief Executive  Officer at the Company,  but at such
places  and  times as shall be  reasonably  convenient  to  Sprague  in his sole
discretion.

     a.  Sprague  shall  devote  such of his  business  time  and  skill  to the
     provision of such services as shall, in his sole discretion,  be reasonably
     necessary.

     b.  Sprague  agrees that the  compensation  provided by paragraph 2 and the
     Option  provided  by  paragraph  3 above  shall be the  full  and  complete
     compensation due and payable to Sprague for services as such consultant.

     c. The term of the  consulting  arrangement  shall be from the date  hereof
     through  May 5, 1999,  or such later date as may be agreed to in writing by
     the Company and Sprague.

     d. During the term of the consulting  arrangement,  Sprague shall be deemed
     to be an independent contractor and not an employee or other representative
     or agent of the Company.

     e. At all times  during and after the term of the  consulting  arrangement,
     Sprague shall keep and treat as confidential  all  information  relating to
     the business or operations of the Company,  except  information which is in
     the public domain or comes within the public  domain  without any breach of
     this Consulting Agreement.

     f. The  consulting  arrangement  shall not limit or prohibit  Sprague  from
     engaging in other business activities or services.

     g. The Company shall have the right to terminate the consulting arrangement
     with Sprague at any time after May 5, 1996, upon written notice;  provided,
     however,  that any such  termination  of the  arrangement,  for any  reason
     whatsoever,  shall not affect nor diminish the Option nor the  compensation
     to be paid by the Company to Sprague as provided in this Agreement.

     5. Representations of Sprague:  Sprague hereby represents to the Company as
follows:

     a. That he is  acquiring  the  Option and the  underlying  shares of Common
     Stock  upon  exercise  of the  Option  for  investment  and not with a view
     towards distribution  thereof. In the event the Option is not registered on
     Form  S-8,  Sprague  acknowledges  that any  Common  Stock  purchased  upon
     exercise of the Option shall be deemed  "restricted"  securities within the
     meaning of Rule 144 under the Securities Act of 1933.

     b. Sprague shall comply with the terms of the Option Agreement.

     c.  Sprague is not aware of any claims or causes of action which he, or any
     entity  of  which  he is  an  officer,  director,  or a 1%  shareholder  or
     affiliate,  has or may have  against the  Company,  any  subsidiary  of the
     Company, or any officer or director of the Company or a Company subsidiary.

     d. Although  nothing in this Agreement shall limit or prohibit Sprague from
     engaging  in  other  business  activities  or  services,   whether  or  not
     competitive to the Company,  Sprague does agree that during the term of the
     Option, Sprague will use reasonable efforts not to disparage the Company or
     its officers and directors nor engage in conduct (other than competition in
     the normal course of business)  materially  adverse to the interests of the
     Company.

     6.  Indemnification.  Notwithstanding  Sprague's retirement from the Board,
Sprague shall remain entitled to  indemnification by the Company for acts during
the time he served as a member of the Company's Board of Directors to the extent
permitted by the Company's governing documents.

     7. Miscellaneous:

     a. This Agreement represents the entire  understanding  between the parties
     with respect to the subject  matter hereof,  and this Agreement  supersedes
     any and all prior  understandings  or  agreements,  written  or oral,  with
     respect to the subject matter hereof,  including  without  limitation,  any
     understanding,  agreements  or  obligations  respecting  any past or future
     compensation or other payments to Sprague by the Company.

     b. This Agreement shall be governed by and construed in accordance with the
     laws of the State of California.

     c. This  Agreement  shall be binding  upon and enure to the  benefit of the
     executors,  administrators,  heirs,  successors  and assigns of the parties
     hereto.

     d. This Agreement may be executed in one or more counterparts, all of which
     taken together shall constitute one and the same agreement.

     e. The  waiver  by either  party of any  breach  of any  provision  of this
     Agreement  shall  not  operate  or be  construed  as a waiver  of any other
     subsequent breach of the same or other provision hereof.

IN WITNESS  WHEREOF,  the parties  have signed this  Agreement as of the day and
year first above written.

                                  NATIONAL SEMICONDUCTOR CORPORATION




                                  BY:        //s//   GILBERT F. AMELIO
                                                     Gilbert F. Amelio
                                                   President and Chief Executive
                                                     Officer

                                             //s//   PETER J. SPRAGUE
                                                     PETER J. SPRAGUE