EXHIBIT 10

                           AMENDMENT TO RIGHTS AGREEMENT

     AMENDMENT  TO  RIGHTS  AGREEMENT,   dated  as  of  March  27,  2002,  (this
"Amendment"),  to the Rights Agreement, dated as of January 5, 2000 (the "Rights
Agreement"),  by and between Unocal  Corporation (the "Company") and ChaseMellon
Shareholders  Services,  L.L.C.  (now Mellon Investor Services LLC, a New Jersey
limited  liability  company),  as Rights Agent (the "Rights Agent").  Terms used
herein but not  defined  shall have the  meaning  assigned to them in the Rights
Agreement.

     WHEREAS,  the Company and the Rights  Agent have  heretofore  executed  and
entered into the Rights Agreement; and

     WHEREAS,  pursuant to Section 27 of the Rights  Agreement,  the Company may
from time to time  supplement or amend the Rights  Agreement in accordance  with
the provisions of such Section 27; and

     WHEREAS, the Board of Directors of the Company has determined that it is in
the best  interest  of the  Company  and its  stockholders  to amend the  Rights
Agreement  to  provide  that any  "Person"  that is a  "Qualified  Institutional
Investor" (as defined herein) will not be deemed an "Acquiring Person."

     NOW,  THEREFORE,  the Company and the Rights  Agent hereby amend the Rights
Agreement as follows:

     1.  Section 1 of the Rights  Agreement  is hereby  amended  to include  the
following new  definition in the  appropriate  alphabetical  position,  with the
subsequent  definitions  being  appropriately  re-lettered and  cross-references
thereto being appropriately revised:

     (p)  "Qualified  Institutional  Investor"  shall  mean,  as of any  time of
determination,  a Person that is described in Rule 13d-1(b)(1) promulgated under
the  Exchange Act (as such Rule is in effect on the date hereof) and is eligible
to report (and, if such Person is the Beneficial Owner of greater than 5% of the
Common  Shares of the  Company,  does in fact  report)  beneficial  ownership of
Common  Shares of the  Company  on  Schedule  13G,  and such  Person  (i) is not
required to file a Schedule  13D (or any  successor or  comparable  report) with
respect to its beneficial ownership of Common Shares of the Company,  (ii) shall
be the  Beneficial  Owner of less than 15% of the Common  Shares of the  Company
then  outstanding  (including  in such  calculation  the holdings of all of such
Person's  Affiliates  and  Associates  other than those which,  under  published
interpretations  of the SEC or its Staff,  are eligible to file separate reports
on Schedule 13G with respect to their beneficial  ownership of the Common Shares
of the Company) and (iii) shall be the Beneficial  Owner of less than 20% of the
Common Shares of the Company then outstanding.

     2. Section 1(a) of the Rights  Agreement  is hereby  modified,  amended and
restated in its entirety as follows:

     (a)  "Acquiring  Person" shall mean any Person who or which,  together with
all Affiliates and Associates of such Person,  shall be the Beneficial  Owner of
15% or more of the Common Shares of the Company then outstanding,  but shall not
include (i) the Company,  any  Subsidiary of the Company,  any employee  benefit
plan of the Company or any  Subsidiary  of the  Company,  or any entity  holding
Common  Shares for or pursuant to the terms of any such plan or (ii) a Qualified
Institutional Investor. Notwithstanding the foregoing, no Person shall become an
"Acquiring  Person"  as the  result of an  acquisition  of Common  Shares by the
Company  which,  by  reducing  the  number  of  Common  Shares  of  the  Company
outstanding,  increases the proportionate number of Common Shares of the Company
beneficially  owned by such  Person to 15% or more of the  Common  Shares of the
Company then outstanding;  provided, however, that, if a Person shall become the
Beneficial  Owner  of 15% or more  of the  Common  Shares  of the  Company  then
outstanding  by reason of share  purchases by the Company and shall,  after such
share  purchases by the Company,  become the Beneficial  Owner of any additional
Common  Shares  of the  Company,  then  such  Person  shall be  deemed  to be an
"Acquiring Person."  Notwithstanding the foregoing, if the Board of Directors of
the Company  determines  in good faith that a Person who would  otherwise  be an
"Acquiring  Person," as defined  pursuant to the  foregoing  provisions  of this
paragraph  (a),  has  become  such  inadvertently,  and such  Person  divests as
promptly as practicable a sufficient number of Common Shares so that such Person
would no longer be an "Acquiring  Person," as defined  pursuant to the foregoing
provisions of this  paragraph (a), then such Person shall not be deemed to be an
"Acquiring Person" for any purposes of this Agreement.

     3.  Section 26 of the Rights  Agreement  is hereby  modified and amended by
substituting   the  name  "Mellon   Investor   Services  LLC"  for  "ChaseMellon
Shareholder Services, L.L.C." in the two places where the latter appears.

     4. Exhibit B to the Rights Agreement, being the form of Rights Certificate,
is hereby  modified and amended by (a)  inserting in the third line of the first
paragraph  following  the words  "dated as of  January  5, 2000" the words ", as
amended as of March 27, 2002" and (b)  substituting  the name  "Mellon  Investor
Services LLC" for the name  "ChaseMellon  Shareholder  Services,  L.L.C. "in the
fifth line of the first paragraph on page B-1 and in the signature block on page
B-3.

     5. This  Amendment  shall be deemed to be a contract made under the laws of
the State of Delaware and for all purposes shall be governed by and construed in
accordance  with  the  laws of such  State  applicable  to  contracts  made  and
performed  entirely within such State;  provided,  however,  that all provisions
regarding  the  rights,  duties and  obligations  of the Rights  Agent  shall be
governed by and construed in  accordance  with the laws of the State of New York
applicable to contracts made and to be performed entirely within such State.

     6. Except as specifically  amended by this  Agreement,  all other terms and
conditions of the Rights Agreement shall remain in full force and effect and are
hereby ratified and confirmed.

     IN WITNESS  WHEREOF,  this  Amendment has been duly executed by the Company
and the Rights Agent as of the day and year first written above.

Attest:                                   UNOCAL CORPORATION



By:      /s/ BRIGITTE M. DEWEZ            By: /s/ DENNIS P.R. CODON
   ---------------------------               ----------------------------
     Name:  Brigitte M. Dewez             Name:  Dennis P.R. Codon
     Title:   Corporate Secretary         Title:  Senior Vice President,
                                          General Counsel & Chief
                                          Legal Officer




Attest:                                   MELLON INVESTOR SERVICES LLC
                                          (as Rights Agent)



By:      /s/ SHARON KNEPPER               By:      /s/ JAMES KIRKLAND
   -------------------------------------     --------------------------------
     Name:     Sharon Knepper                Name:   James Kirkland
     Title:    Vice President                Title:  Assistant Vice President