Abstract: The subject of this research is the issues emerging in consideration of jurisdiction of the material on extradition of a foreign citizen by the Russian Federation. The article touches upon the peculiarities of national and territorial aspect of jurisdiction, and its specific regulation in the criminal procedure law. The article employs the general scientific and private scientific methods, such as scientific analysis, generalization, comparative-legal, formal-logical, which allowed to most fully reflect the essence and problematic aspects of the selected topic. The question at hand is of major importance for the theory of criminal procedure and law enforcement practice, as the mistakes in determination of jurisdiction of the material are a severe violation of the rights, including the convict, and entail the unconditional annulment of court decision. The analysis of the most common mistakes occurred in application of the norms regulating the jurisdiction of extradition of a foreign citizen convicted by the court of the Russian Federation, as well as theoretical issues associated with determination of the court that deals with the particular issue allows outlining the vector and finding solution to the indicated problems.