The results of interdisciplinary scientific connections of the modern criminology conditional on the open character of this science and the necessity of its further development are given. The narrow-purpose character of criminological researches is noted: trivial subject matter; the criminologists’ lack of psychological, psychiatric, economical, historical, biological, ethnological and other knowledge; insufficiency of complex interdisciplinary works and empirical studies. Different viewpoints on the type of criminologists’ education are analyzed. That emphasizes the necessity of cooperation between criminology and other sciences, such as: sociology, demography, culturology, psychology, economics, pedagogics, psychiatry, ethnology, history, biology, political science, philosophy and others. The phenomenon of criminology is argued: it studies a “bad”, criminal, immoral person unlike other sciences (it belongs to the number of sciences which object is person). The main parameter of criminology as a science is examined – its subject which allows to distinguish it from other legal disciplines especially from criminal law. New aspects of interconnection between criminology and criminal procedure, criminalistics, the theory of investigation activity and criminal executive law are shown. The stable connections with family law, banking law, financial law and administrative law are considered. The author emphasizes the significant potential of developing criminology in its connection with nonlegal sciences: sociology, psychiatry, economics, statistics, psychology (including criminal psychology), biology and philosophy. It is noted that prospects and progress of criminology are possible only in its cooperation with other sciences.