Justice for Victims of State Sponsored Terrorism Act - Amends the federal judicial code to expand the rights of victims of state-sponsored terrorism by: (1) denying foreign states that support terrorism immunity from the jurisdiction of U.S. courts for cases involving personal injury or death related to the terrorist activities of its officials, employees, or agents; (2) allowing certain nationals of the United States, members of the Armed Forces, and federal employees or contractors a private cause of action against a foreign state designated as a state sponsor of terrorism; (3) making foreign states vicariously liable for the actions of their officials, employees, or agents; (4) limiting appeals in cases against foreign states involving terrorist-related injuries; and (5) establishing a pending lien against property of a foreign state sponsor of terrorism upon the initiation of legal action in the United States against such state.