The international anti-terrorist legal documents are an attempt to incriminate terrorist activities by the OUN with the purpose of global antiterrorist fight. However, the author of this paper is of the opinion that these documents have not given the expected contribution to counteracting terrorist activities. It is obvious that the states become obstacles for the implementation of these documents, which blunts the blade of efficient antiterrorist activities. Therefore, in the discussion on terrorism, it should take into account the fact that the international law determines a relatively coherent legal framework of international actions for fighting the greatest plague of our time, so terrorism is delictum sui generis and its history is closely related to the history of political crime. The basic human rights belong to so-called imperative rules of the international law (ius cogens), which are obliging for all states automatically. However, without tolerance and justice, all codifications of human rights remain recorded as illusions in history and the international legal documents remain just an unsuccessful attempt. Although the international law treats terrorism as violence of natural persons who act individually or in groups, the author is of the opinion that states also can be responsible for terrorist acts of individuals if they actively support them or tolerate their activities. Therefore, the states bear the main responsibility that the international legal antiterrorist documents have not been adequately implemented in practice so far. This paper is once again an attempt to draw attention of the international and domestic public to the importance of antiterrorist legal documents, with the note that it is absurd to bring various documents that are not implemented in practice.