Anti-Terrorism Clarification Act of 2018 (Sec. 2) This bill amends the federal criminal code to make three changes to provisions governing civil claims for damages resulting from an act of international terrorism. First, the bill narrows the limitation on such claims that occur during an act of war. Current law bars claims for international terrorism that occur during an armed conflict between military forces. This bill specifies that designated foreign terrorist organizations and specially designated global terrorists are not military forces. Second, the bill makes available any asset of a terrorist party seized or frozen under the Foreign Narcotics Kingpin Designation Act for the satisfaction of court-awarded judgments against the terrorist party. Third, it allows federal courts to exercise personal jurisdiction over a foreign non-state defendant that accepts benefits from the United States (e.g., foreign assistance).