National Medal of Honor Monument Act This bill authorizes the National Medal of Honor Museum Foundation to establish a commemorative work on federal land in the District of Columbia in honor of the extraordinary acts of valor, selfless service, and sacrifice displayed by Medal of Honor recipients. The foundation shall be solely responsible for the acceptance of contributions for, and the payment of expenses of, the establishment of the commemorative work. Federal funds may not be used to pay any expenses for the establishment of the commemorative work.