UNITED STATES
                  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):
                            March 19, 2004


                   United States Steel Corporation
- ---------------------------------------------------------------------
        (Exact name of registrant as specified in its charter)


       Delaware                1-16811               25-1897152
   ---------------     ----------------------    -------------------
   (State or other        (Commission File          (IRS Employer
   jurisdiction of             Number)           Identification No.)
    incorporation)

         600 Grant Street, Pittsburgh, PA              15219-2800
     ----------------------------------------          ----------
     (Address of principal executive offices)          (Zip Code)

                            (412) 433-1121
                    ------------------------------
                   (Registrant's telephone number,
                         including area code)


Item 7. Financial Statements and Exhibits

     (c)  Exhibits

         99.1 Press Release dated March 19, 2004, titled "Settlement Reached in
              Production Cap Dispute"

Item 12. Results of Operations and Financial Condition

On March 19, 2004, United States Steel Corporation issued a press release titled
"Settlement Reached in Production Cap Dispute."  Attached is a copy of the press
release in substantially the form released.

                                    SIGNATURE

     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.

UNITED STATES STEEL CORPORATION



By   /s/ Larry G. Schultz
     --------------------
     Larry G. Schultz
     Vice President & Controller



Dated:  March 19, 2004