It is the first time in history of criminology that the independent direction in this science is substantiated - the international criminology. The corresponding conclusions of the famous international law scientist V.F.Antypenko are based on the assessment of the world crisis processes determining the criminalization of the international life and the inability of law to react in adequate way because of its disorientation concerning the subject of regulation. The author proved that basing on the traditional scientific instruments, formed taking into consideration the needs of the national criminal law, criminology appeared to be unable to cover with its research attention the global factors causing the criminogenity in the international interactions. The key source for the systemic scientific argumentation in this work is the research material concerning the international legal mechanisms of fighting terrorism, which shows the high level of criminalization of the international environment. The special subject and the system of the specific methods are determined and form the independent international direction in criminological science.