The subject. The article discusses the procedural peculiarities and grounds for the supervisory (cassation) review of court decisions based on the jury’s decision.The purpose of the article is to assess the effectiveness of the rules on the grounds for review of courts’ decisions based on jury’s verdict.The description of methodology. The author uses formal-legal and comparative-legal methods as well as legal interpretation of the text of Russian Criminal Procedure Code and Russian Supreme Court’s decisions. The decisions of Russian Constitutional Court and court statistics are also analyzed.The main results and scope of their application. In the introduction the author substantiates the relevance of the proposed research by creating a separate cassation and appeal courts of General jurisdiction, a significant extension of jurisdiction of the Russian court with participation of jurors in the district courts as of 1 June 2018., that will result in a manifold increase in the cases before the courts with participation of jurors in the first instance, and a manifold increase in appeals and representations on the decision of the jury. In the second section of the work the characteristic of legal institution of possible turn to the worst for the condemned situation in cassation and Supervisory instances is given, the analysis is widely known of the resolution of the constitutional court of the Russian Federation of May 11, 2005. The third section of the work considers the grounds for possible review of the decision of the courts with the participation of jurors in the order of Art. 401.6 of the Code of Criminal Procedure and grounds proposed by the Plenum of the RF Supreme Court in the Decree of January 28, 2014. The fourth section of the work is devoted to the characteristics of the rules and procedure of Supervisory proceedings, specifies the types of appealed decisions, powers and limits of the rights of the Presidium of the Russian armed forces, provides examples of review of judicial decisions with the participation of juries that have en-tered into force.

Conclusions. The author suggests to replace the grounds for cancellation or amendment of acquittal decisions of courts based on the jury’s decision with the grounds of cassation review of jury trials that are included in art. 664 and 665 of the Code of Criminal Procedure of the Republic of Kazakhstan due to their clearer legal definition and lack of evaluative concepts.