Modern counter-terrorist international universal and regional treaties are aimed directly at criminalization and penalization of terrorism, not international terrorism. Their main objective is unification of the term “terrorism” in domestic law. At least it refers to the most common specific types of acts of terrorism and terrorist offences. However this seems to be palliative as terrorism is constantly progressing, keeps modifying in its forms and includes not only acts of terrorism, but also terrorist doctrines and terrorist organizations, new ways of the committing (for example, cyber terrorism), and new ways of finding new recruits (recently – attracting foreign terrorist fighters). International terrorism has become a threat of planetary dimensions. Nowadays there is a constantly evolving system of international counterterrorism cooperation - regulated by norms of international and domestic law joint activities of subjects of international relations and domestic legal relations aimed at securing legal protection of individual, society, state and international community from terrorist crimes.