SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549

                                 SCHEDULE 13G/A
                               (Amendment No. 8)

             INFORMATION TO BE INCLUDED IN STATEMENTS FILED PURSUANT
           TO RULES 13D-1(B), (C) AND (D) AND AMENDMENTS THERETO FILED
                            PURSUANT TO RULE 13D-2(B)



                                HESS CORPORATION
                           --------------------------
                                (Name of Issuer)


                                  Common Stock
                          ----------------------------
                         (Title of Class of Securities)


                                   42809H 107
                               ------------------
                                 (CUSIP Number)


                               December 31, 2006
                           -------------------------
             (Date of Event Which Requires Filing of this Statement)




        Check the appropriate box to designate the rule pursuant to which
                            this Schedule is filed:

                                  Rule 13d-1 (b)
                                X Rule 13d-1 (c)
                                  Rule 13d-1 (d)







                                                 PAGE   1      OF   4      PAGES
                                                      --------    --------


                              CUSIP NO. 023551 10 4




------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

             Nicholas F. Brady
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER         159,330 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY
EACH REPORTING PERSON
         WITH                  See Note 8
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER     7,991,100 shares

                               See Notes 2 and 9
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE DISPOSITIVE POWER    159,330 shares

                               See Note 8
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER   20,612,079 shares

                               See Notes 1, 2 and 9.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             20,771,409 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                                 |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

             6.59%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------








                                                PAGE    2     OF     4     PAGES
                                                     --------    ---------


                              CUSIP NO. 023551 10 4




------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

              John B. Hess
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------
                         5.    SOLE VOTING POWER  31,212,831 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY          See Notes 1, 3, 4 and 5.
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER        8,019,854 shares

                               See Notes 2 and 3.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER    4,113,806 shares

                               See Notes 3 and 5.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER   33,682,895 shares

                               See Notes 1, 2, 3 and 4.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             39,256,629 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

             12.37%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------







                                                 PAGE   3      OF    4     PAGES
                                                            --------    --------


                              CUSIP NO. 023551 10 4



------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

             Thomas H. Kean
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER         19,800 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER        7,956,219 shares

                               See Note 2
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER   19,800 shares
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER  20,577,198 shares

                               See Notes 1 and 2
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

             20,596,998 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9


              6.54%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------







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

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


                                                 PAGE   4      OF    4     PAGES
                                                            --------    --------


                              CUSIP NO. 023551 10 4



------------ -------------------------------------------------------------------
    1.
             NAMES OF REPORTING PERSONS
             I.R.S. IDENTIFICATION NO. OF ABOVE PERSONS (ENTITIES ONLY)

              John Y. Schreyer
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    2.
             CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*     (a)      |_|
                                                                   (b)       X
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    3.
             SEC USE ONLY


------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    4.
             CITIZENSHIP OR PLACE OF ORGANIZATION

             United States of America
------------ -------------------------------------------------------------------
----------------------- ------ -------------------------------------------------

                         5.    SOLE VOTING POWER             188,289 shares
   NUMBER OF SHARES
BENEFICIALLY OWNED BY          See Note 6.
EACH REPORTING PERSON
         WITH
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         6.    SHARED VOTING POWER           151,278 shares

                               See Note 7.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         7.    SOLE  DISPOSITIVE POWER       188,289 shares

                               See Note 6.
----------------------- ------ -------------------------------------------------
----------------------- ------ -------------------------------------------------

                         8.    SHARED DISPOSITIVE POWER   19,209,138 shares

                               See Notes 1, 4 and 7.
----------------------- ------ -------------------------------------------------
------------ -------------------------------------------------------------------
    9.
             AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

                 19,397,427 shares
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    10.
             CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES
             CERTAIN SHARES*                                       |_|
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    11.
             PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

             6.16%
------------ -------------------------------------------------------------------
------------ -------------------------------------------------------------------
    12.
             TYPE OF REPORTING PERSON*

             IN
------------ -------------------------------------------------------------------










                                  Notes to 13G

Explanatory Note:  All amounts shown for all reporting persons reflect a three
                   for one stock split effected May 31, 2006.

Note 1.            This amount includes 12,620,979 shares held by a charitable
                   lead annuity trust established under the will of Leon Hess.
                   John B. Hess has sole voting power of this stock held by this
                   trust and shares dispositive power over such stock with the
                   other filing persons who are other trustees of this trust.

Note 2.            This amount includes 7,956,219 shares held by a limited
                   partnership. Messrs. Hess, Brady and Kean serve on the
                   management committee of the general partner of this limited
                   partnership and share, inter alia, voting and dispositive
                   powers, with respect to shares held by the limited
                   partnership.

Note 3.            This figure includes 1,400,491 shares owned directly by
                   Mr. Hess as to which he has sole voting and dispositive
                   power. This amount also includes an aggregate of 2,371,878
                   shares held by Mr. Hess' siblings or by trusts for the
                   benefit of Mr. Hess' siblings or their children, as to which
                   Mr. Hess has sole voting power and as to 1,541,950 shares of
                   which he shares dispositive power pursuant to a shareholders
                   agreement among, inter alia, Mr. Hess and his siblings; an
                   aggregate of 661,073 shares held by three trusts for the
                   benefit of Mr. Hess and his heirs, of which Mr. Hess is
                   trustee or co-trustee and as to which he has sole voting
                   power, and as to 157,446 shares of which he has sole
                   dispositive power and as to 503,627 shares of which he shares
                   dispositive power; 1,121,175 held by a trust for the benefit
                   of Mr. Hess' mother, as to which he has sole voting power and
                   shared dispositive power; 2,703,213 shares held by a trust
                   for the benefit of Mr. Hess and his siblings, of which he is
                   a co-trustee and has sole voting power and shared dispositive
                   power, 735,216 shares held by a trust of which Mr. Hess has
                   sole voting power and shares dispositive power pursuant to a
                   shareholders agreement between, inter alia, Mr. Hess and his
                   spouse, as trustee; 63,635 shares held by a trust of which
                   Mr. Hess is a co-trustee and shares voting and dispositive
                   power and 69,018 held by two trusts as to which Mr. Hess has
                   sole voting and dispositive power; 630,000 shares of
                   restricted stock held in escrow under the Issuer's incentive
                   compensation plan as to which Mr. Hess has voting but not
                   dispositive power; 2,439,000 shares underlying options to
                   purchase common stock of the Issuer, as to which he has sole
                   voting and dispositive power only upon exercise of such
                   options.

Note 4.            This amount includes 6,436,881 shares held by the Hess
                   Foundation, Inc. of which Messrs. Hess and Schreyer are
                   directors and as to which Mr. Hess has sole voting power and
                   shares dispositive power with, inter alia, Mr. Schreyer.

Note 5.            Includes 47,851 shares vested in the name of John B. Hess
                   under Issuer's Employees' Savings and Stock Bonus Plan.
                   Mr. Hess has sole dispositive power with respect to all these
                   shares and sole voting power with respect to 23,907 of such
                   shares.

Note 6.            This amount includes 78,289 shares owned directly by
                   Mr. Schreyer as to which he has voting and dispositive power;
                   110,000 shares underlying options to purchase Common Stock of
                   Issuer, as to which he has sole voting and dispositive power
                   only upon exercise of such options.

Note 7.            This amount includes 151,278 shares held by four trusts as to
                   which Mr. Schreyer has shared voting and dispositive power.

Note 8.            This amount includes 153,330 shares held directly by
                   Mr. Brady as to which he has sole voting and dispositive
                   power; and 6,000 shares held by a limited liability company
                   of which Mr. Brady is the managing member and as to which he
                   has sole voting and dispositive power.

Note 9.            This amount includes 24,915 shares held by a charitable
                   foundation, and 9,966 shares held by two trusts of which
                   Mr. Brady is a co-trustee, in each case as to which Mr. Brady
                   shares voting and dispositive power.












Item 1(a).    Name of Issuer:

              Hess Corporation

Item 1(b).    Address of Issuer's Principal Executive Offices:

              1185 Avenue of the Americas
              New York, NY 10036

Item 2(a).    Name of Person Filing:

              See respective cover pages.

Item 2(b).    Address of Principal Business Office or, if None, Residence:

              Nicholas F. Brady
              Choptank Partners
              16 North Washington Street
              Easton, MD 21601

              John B. Hess
              Hess Corporation
              1185 Avenue of the Americas
              New York, NY 10036

              Thomas H. Kean
              THK Consulting, LLC
              49 Route 202
              Post Office Box 810
              Far Hills, NJ 07931

              John Y. Schreyer
              105 Lincoln Avenue
              Little Falls, NJ 07424





Item 2(c).    Citizenship:

              United States of America

Item 2(d).    Title of Class of Securities:

              Common Stock

Item 2(e).    CUSIP Number:

              42809H 107


Item 3.       If This Statement is Filed Pursuant to Rule 13d-1(b), or 13d-2(b)
              or (c), Check Whether the Person Filing is:

              (a)    A broker or dealer registered under Section 15 of the
                     Exchange Act.

              (b)    A bank as defined in Section 3(a)(6) of the Exchange Act.

              (c)    An insurance company as defined in Section 3(a)(19) of
                     the Exchange Act.

              (d)    An investment company registered under Section 8 of the
                     Investment Company Act.

              (e)    An investment adviser in accordance with Rule
                     13d-1(b)(1)(ii)(E).

              (f)    An employee benefit plan or endowment fund in accordance
                     with Rule 13d-1(b)(1)(ii)(F).

              (g)    A parent holding company or control person, in accordance
                     with Rule 13d-1(b)(ii)(G).

              (h)    A savings association as defined in Section 3(b) of the
                     Federal Deposit Insurance Act.

              (i)    A church plan that is excluded from the definition of an
                     investment company under Section 3(c)(14) of the
                     Investment Company Act.

              (j)    A group, in accordance with Rule 13d-1(b)(ii)(J).

              If this statement is filed pursuant to Rule 13d-1(c), check
              this box.                                                      |X|







Item 4.       Ownership.


              Provide the following information regarding the aggregate number
and percentage of the class of securities of the issuer identified in Item 1.

       (a)    Amount beneficially owned:

            See respective cover pages.
            ---------------------------

       (b)    Percent of class:

            See respective cover pages.
            ---------------------------

       (c)    Number of shares as to which such person has:

            See respective cover pages.
            ---------------------------

       (i)    Sole power to vote or to direct the vote

            See respective cover pages.
            ---------------------------

       (ii)   Shared power to vote or to direct the vote

            See respective cover pages.
            ---------------------------

       (iii)  Sole power to dispose or to direct the disposition of

            See respective cover pages.
            ---------------------------

       (iv)   Shared power to dispose or to direct the disposition of

            See respective cover pages.
            ---------------------------

Item 5.         Ownership of Five Percent or Less of a Class.
              Not applicable

Item 6.         Ownership of More than Five Percent on Behalf of Another Person.
              As indicated in the Notes above, some of the shares owned are held
for the account of other persons who have the right to receive dividends and the
proceeds of the sale of such shares. Such shares held by the estate of Leon Hess
or by trusts established under the will of Leon Hess represent more than five
percent of the outstanding class.

Item 7.         Identification and Classification of the Subsidiary Which
              Acquired the Security Being Reported on by the Parent Holding
              Company.
              Not applicable

Item 8.         Identification and Classification of Members of the Group.
              Not applicable

Item 9.         Notice of Dissolution of Group.
              Not applicable






Item 10. Certification.

              By signing below I certify that, to the best of my knowledge and
belief, the securities referred to above were not acquired and are not held for
the purpose of or with the effect of changing or influencing the control of the
issuer of the securities and were not acquired and are not held in connection
with or as a participant in any transaction having that purpose or effect.





                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.


                                    February 12, 2007
                                ----------------------
                                         (Date)

                                /s/Nicholas F. Brady
                                ----------------------
                                   Nicholas F. Brady






                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.



                                    February 12, 2007
                                ----------------------
                                         (Date)

                                  /s/ John B. Hess
                                ----------------------
                                      John B. Hess







                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.




                                    February 12, 2007
                                ----------------------
                                         (Date)

                                 /s/ Thomas H. Kean
                                ----------------------
                                     Thomas H. Kean






                                    SIGNATURE

              After reasonable inquiry and to the best of my knowledge and
belief, each of the undersigned agrees that this statement is filed on behalf of
each of them and certifies that the information set forth in this statement as
to himself, and to his best knowledge as to each other filing person is true,
complete and correct.





                                    February 12, 2007
                                ----------------------
                                         (Date)

                                /s/ John Y. Schreyer
                                ----------------------
                                    John Y. Schreyer