Synopsis As Introduced Creates the Rental Housing Support Program Act. Provides for grants from the Illinois Housing Development Authority to local administering agencies to provide subsidies for landlords to charge rent affordable for low-income tenants. Also provides for grants from the Illinois Housing Development Authority to developers of affordable rental housing. Sets forth criteria for the awarding of grants. Requires the Authority to establish an operating reserve for the program. Amends the State Finance Act to create the Rental Housing Support Program Fund, a special fund in the State treasury. Amends the Counties Code. Provides that the county recorder shall collect a $10 surcharge for the recordation of any real estate-related document, one dollar of which shall be retained by the county and $9 of which shall be deposited into the Rental Housing Support Program Fund. Effective January 1, 2005.