------------------------------
                                                           OMB APPROVAL
                                                  ------------------------------
                                                  OMB Number           
                                                  Expires:        
                                                  Estimated average burden
                                                  hours per response ....... 0.5
                                                  ------------------------------

                     U.S. SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549

                                     FORM 4

                  STATEMENT OF CHANGES IN BENEFICIAL OWNERSHIP

    Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934,
       Section 17(a) of the Public Utility Holding Company Act of 1935 or
               Section 30(f) of the Investment Company Act of 1940

[_]  Check box if no longer  subject of Section 16. Form 4 or Form 5 obligations
     may continue. See Instruction 1(b).

________________________________________________________________________________
1.   Name and Address of Reporting Person*

Woodring                             Kenneth                  G.
- --------------------------------------------------------------------------------
   (Last)                           (First)             (Middle)

CityPlace One, Suite 300      
- -------------------------------------------------------------------------------
                                    (Street)

St. Louis                          Missouri               63141
- --------------------------------------------------------------------------------
   (City)                           (State)              (Zip)

________________________________________________________________________________
2.   Issuer Name and Ticker or Trading Symbol

Arch Coal, Inc. (ACI)
________________________________________________________________________________
3.   IRS Identification Number of Reporting Person, if an Entity (Voluntary)

________________________________________________________________________________
4.   Statement for Month/Year

February, 1999
________________________________________________________________________________
5.   If Amendment, Date of Original (Month/Year)


================================================================================
6.   Relationship of Reporting Person to Issuer
     (Check all applicable)

     [_]  Director                             [_]  10% Owner
     [X]  Officer (give title below)           [_]  Other (specify below)

    Executive Vice President - Mining Operations
________________________________________________________________________________
7.   Individual or Joint/Group Filing (Check applicable line)

     [X]  Form filed by one Reporting Person
     [_]  Form filed by more than one Reporting Person
________________________________________________________________________________

================================================================================ Table I -- Non-Derivative Securities Acquired, Disposed of, or Beneficially Owned ================================================================================ 6. 4. 5. Owner- Securities Acquired (A) or Amount of ship 3. Disposed of (D) Securities Form: 7. Transaction (Instr. 3, 4 and 5) Beneficially Direct Nature of 2. Code ------------------------------- Owned at End (D) or Indirect 1. Transaction (Instr. 8) (A) of Month Indirect Beneficial Title of Security Date ------------ Amount or Price (Instr. 3 (I) Ownership (Instr. 3) (mm/dd/yy) Code V (D) and 4) (Instr.4) (Instr. 4) - ------------------------------------------------------------------------------------------------------------------------------------ Common Stock 2/18/99 P 2,500 A 9.8125 10,682 D - ------------------------------------------------------------------------------------------------------------------------------------ Common Stock 2/18/99(1) I V .4366 A 9.875 - ------------------------------------------------------------------------------------------------------------------------------------ Common Stock 2/19/99 I V 2,211.6358 A 11.25 2,213.0161 I By 401(k) - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ ==================================================================================================================================== (1) The purchase of shares were made by the Arch Coal Thrift Plan Administrator pursuant to the Reporting Person's intraplan transfer and the purchase of the shares occurred over two days. * If the Form is filed by more than one Reporting Person, see Instruction 4(b)(v). Reminder: Report on a separate line for each class of securities beneficially owned directly or indirectly. (Print or Type Responses) (Over) (Form 4-07/98)

FORM 4 (continued) Table II -- Derivative Securities Acquired, Disposed of, or Beneficially Owned (e.g., puts, calls, warrants, options, convertible securities) ================================================================================ 10. 9. Owner- Number ship of Form 2. Deriv- of Conver- 5. 7. ative Deriv- 11. sion Number of Title and Amount Secur- ative Nature or Derivative 6. of Underlying 8. ities Secur- of Exer- 4. Securities Date Securities Price Bene- ity: In- cise 3. Trans- Acquired (A) Exercisable and (Instr. 3 and 4) of ficially Direct direct Price Trans- action or Disposed Expiration Date ---------------- Deriv- Owned (D) or Bene- 1. of action Code of(D) (Month/Day/Year) Amount ative at End In- ficial Title of Deriv- Date (Instr. (Instr. 3, ---------------- or Secur- of direct Owner- Derivative ative (Month/ 8) 4 and 5) Date Expira- Number ity Month (I) ship Security Secur- Day/ ------ ------------ Exer- tion of (Instr. (Instr. (Instr. (Instr. (Instr. 3) ity Year) Code V (A) (D) cisable Date Title Shares 5) 4) 4) 4) - ------------------------------------------------------------------------------------------------------------------------------------ Employee Stock Option Common (Right to Buy) 10.6875 2/25/99 A V 30,000 (1) 2/25/09 Stock 30,000 10.6875 30,000 D - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ - ------------------------------------------------------------------------------------------------------------------------------------ ==================================================================================================================================== Explanation of Responses: (1) The option vests in four annual installments beginning 2/25/2000 in the following amounts: 1/6, 1/3, 1/3, 1/6. /s/ Miriam Rogers Singer March 8, 1999 - --------------------------------------------- ----------------------- **Signature of Reporting Person Date Attorne In Fact ** Intentional misstatements or omissions of facts constitute Federal Criminal Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a). Note: File three copies of this Form, one of which must be manually signed. If space provided is insufficient, see Instruction 6 for procedure. Page 2