America Rx Act of 2005

America Rx Act of 2005 - Directs the Secretary of Health and Human Services to establish the America Rx program to provide U.S. residents who are not covered under any public or private program that provides substantial benefits towards the purchase of outpatient prescription drugs with access to discounted prices for such drugs.

Requires the Secretary to negotiate rebate agreements with drug manufacturers and deny tax deductions for advertising and marketing of drugs of manufacturers choosing not to participate in the program.

Provides for arrangements under the program: (1) for pharmacies to provide qualified residents prescription drugs at discounted prices in exchange for discount reimbursement by the Secretary and reasonable dispensing fees; and (2) for States to provide for program administration in return for payment of reasonable administrative expenses.