National Health Museum Act of 2004

National Health Museum Act of 2004 - Directs the Administrator of General Services to convey specified property in the District of Columbia as a site for a national health museum, under an agreement with the National Health Museum, Inc., including certain terms and conditions.

Provides for the Administrator's leasing of a certain portion of a building to be constructed by the Museum on such site, at a rent below prevailing market rates. Authorizes the Administrator to apply any or all of the proceeds from conveyance of the property toward rental charges incurred by the Federal Government under such lease.

Sets forth related provisions regarding environmental matters, incidental costs, and land use approvals.