УДК 347.9 The purpose of the article – a critical analysis of the position of the Constitutional Court of the Russian Federation, the justification, through the analysis of the ECtHR practice and scientific work on execution of the ECtHR judgments, about the coordination of positions of national courts and the supranational body. The methodological basis for the study: general scientific methods (analysis, synthesis, comparison); private and academic (interpretation, comparative legal, formal-legal). Problems and basic scientific results: The issue of implementation of the Human Rights Court decisions at the national level oc-curs when the compensation is not enough to eliminate the revealed violations. Russian legislator opted for the situation of Human Rights by the European Court finding a violation of the provisions of the Protection of Human Rights and Fundamental Freedoms in the consideration by the court of a particular case, in connection with the decision by which the applicant applied to the ECtHR mechanism for review of the decision on the new circumstances. Supreme Court puts forward three conditions for the implementation of the revi-sion of the judicial act on a national level, which should be available at the same time: 1) the continuous nature of the adverse effects; 2) the existence of violations of the Convention or gross procedural violations; 3) a causal link between the breach and the consequences. The author point out that the regulation of possible conflicts between the Convention and national legislation is based on cooperation (not confrontation) States and the European Court of Human Rights. Such practice of cooperation based on the principles of subsidiarity (addition to national rights protection system); evolutionary interpretation of the Convention (which implies flexibility, and accounting for changes in public relations); Judges dialogue and to develop advisory opinions. Consequently, the task of the Constitutional Court can not be default search options, on the contrary, its task – to determine exactly how, taking into account the differences in the legislation, the decision will be enforced. Failure, as well as the improper execution of judgments of the ECtHR may involve the establishment of a new violation of the provisions of the Convention and sanctions against violators.