Restitution for the Exonerated Act of 2009 - Authorizes the Attorney General to award grants and supplemental funds to nonprofit organizations to be used only to provide support services (e.g., employment training, health care services, and legal assistance) to exonerees. Prohibits services for exonerees who have not demonstrated financial need or for a period of more than 24 months. Defines "exoneree" as an individual who has been convicted of a crime carrying a prison sentence of one year or more, has served at least six months of such prison sentence, and has been determined to be factually innocent of the crime.