SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549
                        ----------------------------

                                    FORM 8-K

                                 CURRENT REPORT

                     Pursuant to Section 13 or 15(d) of the
                         Securities Exchange Act of 1934


 Date of Report (Date of earliest event reported): July 13, 2004 (July 9, 2004)

                                 Arch Coal, Inc.
             (Exact name of registrant as specified in its charter)

            Delaware                   1-13105                    43-0921172
------------------------------   ---------------------------      ----------
(State or other jurisdiction     (Commission File Number)     (I.R.S. Employer
    of incorporation)                                       Identification No.)


            One CityPlace Drive, Suite 300, St. Louis, Missouri 63141
               (Address of principal executive offices) (Zip code)


       Registrant's telephone number, including area code: (314) 994-2700











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Item 5. Other  Events.

     On July 9, 2004,  Arch Coal,  Inc.  (the  "Company"),  announced  via press
release that it expects to report earnings per share of approximately $0.20 for
its second quarter ended June 30, 2004, excluding certain charges.


Item 7.  Exhibits.

         (c) The following Exhibit is filed with this Current Report on Form
8-K:

          Exhibit No.               Description
             99                     Press Release dated as of July 9, 2004


























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                                   SIGNATURES

     Pursuant to the  requirements  of the Securities  Exchange Act of 1934, the
registrant  has duly  caused  this  report  to be  signed  on its  behalf by the
undersigned hereunto duly authorized.

Dated:  July 13, 2004                       ARCH COAL, INC.



                                        By:  /s/ Janet L. Horgan
                                           ------------------------------------
                                           Janet L. Horgan
                                           Assistant General Counsel and
                                             Assistant Secretary



























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                                  EXHIBIT INDEX


Exhibit No.                 Description
-----------                ------------
99                         Press Release dated as of July 9, 2004


































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                                                                     Exhibit 99
News from
Arch Coal, Inc.
-------------------------------------------------------------------------------
                                                       FOR FURTHER INFORMATION:

                                                                     Deck Slone
                                                       Vice President, Investor
                                                   Relations and Public Affairs
                                                                 (314) 994-2717

                                                          FOR IMMEDIATE RELEASE

             Arch Coal Provides Earnings Estimate for Second Quarter

     ST. LOUIS (July 9, 2004) - Arch Coal, Inc.  announced today that it expects
to report earnings per share of approximately $0.20 for its second quarter ended
June 30, 2004,  excluding charges related to the termination of hedge accounting
for interest rate swaps.  The company had previously  announced that it expected
to earn between $0.20 and $0.30 per share for the quarter, excluding the charges
described above.

     Rail  service  disruptions  in both the eastern and western  United  States
adversely affected the company's expected performance during the second quarter.
"In total, missed shipments and production curtailments resulting from high mine
inventory  levels cost the company an estimated  $8 million  after tax, or $0.13
per share,  during the period," said Steven F. Leer,  Arch's president and chief
executive officer.

     Arch is actively  working  with the  railroads  in an effort to improve the
level of rail service in the year's second half, according to Leer.

     Arch plans to announce its second  quarter  results before the market opens
on July 26.

     St. Louis-based Arch Coal is one of the nation's largest coal producers and
mines  low-sulfur coal  exclusively.  Through its subsidiary  operations in West
Virginia, Kentucky, Virginia, Wyoming, Colorado and Utah, Arch provides the fuel
for approximately 6 percent of the electricity generated in the United States.
                                      # # #
     Forward-Looking Statements:  Statements in this press release which are not
statements of historical fact are  forward-looking  statements  within the "safe
harbor" provision of the Private Securities Litigation Reform Act of 1995. These
forward-looking  statements are based on information currently available to, and
expectations and assumptions  deemed  reasonable by, the company.  Because these
forward-looking  statements  are  subject  to various  risks and  uncertainties,
actual results may differ  materially  from those  projected in the  statements.
These  expectations,   assumptions  and  uncertainties  include:  the  company's
expectation  of  continued  growth in the demand for  electricity;  belief  that
legislation  and  regulations  relating to the Clean Air Act and the  relatively
higher costs of competing  fuels will  increase  demand for its  compliance  and
low-sulfur  coal;  expectation of continued  improved market  conditions for the
price of coal;  expectation  that the company  will  continue  to have  adequate
liquidity from its cash flow from operations, together with available borrowings
under its credit  facilities,  to finance the company's working capital needs; a
variety of operational, geologic, permitting, labor and weather related factors;
and the other risks and uncertainties which are described from time to time in
the company's reports filed with the Securities and Exchange Commission.