AMERADA HESS CORP
SC 13G/A, 1999-02-16
PETROLEUM REFINING
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<PAGE>   1
                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                  Schedule 13G

                   Under the Securities Exchange Act of 1934
                               (Amendment No. 20)


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

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

                                  023551 10 4
- --------------------------------------------------------------------------------
                                 (CUSIP Number)


Check the following box if a fee is being paid with this statement [ ]. A fee 
is not required only if the filing person: (1) has a previous statement on file 
reporting beneficial ownership of more than five percent of the class of 
securities described in Item 1: and (2) has filed no amendment subsequent 
thereto reporting beneficial ownership of five percent or less of such class. 
(See Rule 13d-7.)

* The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall be deemed to 
be "filed" for the purpose of Section 18 of the Securities Exchange Act of 1934 
("Act") or otherwise subject to the liabilities of that section of the Act but 
shall be subject to all other provisions of the Act (however, see the Notes).

                        (Continued on following page(s))



                               Page 1 of 2 Pages
<PAGE>   2
CUSIP No.    023551 10 4                   13G                 Page 2 of 2 Pages

1         NAME OF REPORTING PERSON
          S.S. OR I.R.S. IDENTIFICATION NO. OF ABOVE PERSON

               Leon Hess
               S.S. No. ###-##-####
- --------------------------------------------------------------------------------
2         CHECK THE APPROPRIATE BOX IF A MEMBER OF A GROUP*

                                                  (a)
                                                      ----
                                                  (b)
                                                      ----
- --------------------------------------------------------------------------------

3         SEC USE ONLY

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

               United States
- --------------------------------------------------------------------------------
          5    SOLE VOTING POWER

                    11,676,523
          ----------------------------------------------------------------------
          6    SHARED VOTING POWER

                    None
          ----------------------------------------------------------------------
          7    SOLE DISPOSITIVE POWER

                    11,676,523
          ----------------------------------------------------------------------
          8    SHARED DISPOSITIVE POWER

                    None
- --------------------------------------------------------------------------------
9         AGGREGATE AMOUNT BENEFICIALLY OWNED BY EACH REPORTING PERSON

               11,676,523 See Notes (1) and (2) of attached Schedule 13G
- --------------------------------------------------------------------------------
10        CHECK BOX IF THE AGGREGATE AMOUNT IN ROW (9) EXCLUDES CERTAIN SHARES*
               
               See Note (1) of attached Schedule 13G
- --------------------------------------------------------------------------------
11        PERCENT OF CLASS REPRESENTED BY AMOUNT IN ROW 9

               12.9%
- --------------------------------------------------------------------------------
12        TYPE OF REPORTING PERSON*

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

                     *SEE INSTRUCTION BEFORE FILLING OUT!
<PAGE>   3
Item 4.   Ownership.

     (a)  Amount beneficially Owned:

          11,676,523

     (b)  Percent of Class:

          12.9%

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

          (i)   Sole power to vote or to direct the vote     11,676,523

          (ii)  shared power to vote or to direct vote       
                                                             ----------

          (iii) sole power to dispose or to direct the
                disposition of                               11,676,523
                                                             ----------

          (iv)  shares power to dispose or to direct the
                disposition of                         
                                                             ---------- 

   
<PAGE>   4
Signature:

After reasonable inquiry and to the best of my knowledge and belief, I certify 
that the information set forth in this statement is true, complete and correct.


     February 8, 1999
- ---------------------------------------------------
Date

/S/ Leon Hess
- ---------------------------------------------------
Signature


     Leon Hess
     Chairman of the Executive Committee
       and Director of Amerada Hess Corporation
- ---------------------------------------------------
Name/Title

<PAGE>   5
NOTES:

(1)  Excludes 168,452 shares held by Mr. Hess' wife, as to which Mr. Hess
     disclaims beneficial ownership. Excludes 107,286 shares held by Capitol
     Street Corporation, a corporation in which Mr. Hess owns a minority equity
     interest, and as to which he disclaims beneficial ownership.

(2)  Includes 175,218 shares held by five corporations of which Mr. Hess is an
     officer, director and owner of voting preferred stock having at least 80%
     of the total voting power of all classes of stock. Also includes 1,843,827
     shares held by Hess Foundation, Inc. of which Mr. Hess is a director and
     29,834 shares held by five trusts of which Mr. Hess is trustee.


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