Purpose: Scientific views of processualists concerning Institute of jurors are given in the article. Some experts defend activity of jury, others - categorically against such form of legal proceedings. Methodology: The methodological basis of this research is made by a dialectic method. Special methods of knowledge were used: logic-legal; comparative, historical, sociological, system and structural, statistical, method of the analysis and synthesis, legal modeling. Result: On the basis of the analysis of statistical data and materials of jurisprudence the author's position of rather a criminal prosecution in court with the participation of jurors on criminal cases of terrorist orientation, in the conditions of absence at defendants of the right to petition on such court is stated. The need for differentiation of legality and expediency of restriction, constitutional rights of defendants on the jury is proved. The concrete measures directed to an increase in efficiency of criminal prosecution in the conditions of the constitutional state are proposed. Results of a poll of practical workers are given: investigators, prosecutors, and judges who spoke in favor of the made offers directed to an increase in efficiency of criminal legal proceedings. Applications: This research can be used for the universities, teachers, and students. Novelty/Originality: In this research, the model of Criminal Prosecution of Terrorist Crimes in Jury Trial: Legality and Appropriateness is presented in a comprehensive and complete manner.

This article aims to study the theory and practice of criminal prosecution of terrorist crimes in the Russian Federation. Most of the scientific work is mainly devoted to the study of criminal law and the criminological aspects of the fight against such criminal activities. It is therefore of particular importance to identify the problems of legal regulation of the investigator's activities in order to prosecute criminal offences and develop proposals for their optimal resolution. Cognitionic methods include: an anthropological, synthesis, statistics, partner, particular, systemic structural, legal modeling. In the Russian federation the prosecutor has judicial supervision in the criminal proceedings. Everything concludes that Federal Law of the Russian Federation No. 87-87-05.06.2007 redistributed control of the criminal proceedings by the investigator of the corporation a series of substantive rights of the chief prosecutor of the investigating body. In this sense, the optimal proportion of departmental control and tax supervision of the investigator, such as the establishment of a reasonable balance of these powers of control and supervision, increases the effectiveness of criminal prosecution of terrorism offences.