For quite a long time international criminal law had the scope of its action only foreign policy activities of states, in connection with which we can say that the degree of influence of international criminal law on national legal acts was minimal. This is all the more significant because the specificity of criminal law as a branch of law, in many respects predetermines its known conservatism, weak exposure to modern processes of internationalization of law. As noted in the scientific literature, "the monopoly of the state to establish the criminality and punishability of socially dangerous acts (criminal legal sovereignty) is rightly considered as the most important component of state sovereignty".But in the context of globalization, international criminal law faces a number of new challenges, the solution of which requires the application of new methods and approaches in the relationship between States and international organizations.