This article is examining the General Assembly’s efforts on terrorism and the impacts they have had on states’ behaviors in last three decades. General Assembly actions on terrorism can be divided in two types: first, actions contributing to development of normative conceptions of the problem by defining terrorism as a common phenomena which proceeded in its resolutions; and second, encouraging cooperative actions among states through more international and national legal rules. While the General Assembly was successful in adoption of various conventions, but there is no consistent pattern in its affection on behavior of states. Efforts for increased cooperation and coordination led to various results. It seems that states are still not ready for more devotion and cooperation on the basis of UN General Assembly approach to deal with terrorism as a transnational crime.