Closing the Coverage Gap Act of 2004 - Amends title XVIII (Medicare) of the Social Security Act, as amended by the Medicare Prescription Drug, Improvement, and Modernization Act of 2003, to eliminate: (1) the initial standard prescription drug coverage limit of $2,250 (adjusted for inflation); and (2) the MedicareAdvantage regional plan stabilization fund.
Repeals the Premium Support Demonstration Program.
Eliminates Health Savings Accounts under the Medicare Prescription Drug, Improvement, and Modernization Act of 2003.