The author raises the question of improving the activities of public authorities that comply with the orders of the Constitutional Court of the Russian Federation. The research featured various issues related to the implementation of constitutional justice and their possible solutions. The study revealed the following needs: 1) to adjust the Federal Constitutional Law on the Constitutional Court of the Russian Federation to time-limits for State Duma draft laws; 2) to return the extraordinary adoption of bills in pursuance of decisions of the Constitutional Court of the Russian Federation; 3) to develop a scheme for the practical enforcement of judicial acts; 4) to expand the functions of the Ministry of Justice of the Russian Federation and its regional structural divisions by including normative legal acts of the subjects of the Russian Federation and acts of their constitutional and judicial review in the sphere of legal monitoring; 5) to develop a special system for informing about decisions taken by the Constitutional Court of the Russian Federation to verify the laws of the subjects of the Russian Federation; 6) to improve criteria and procedures for recognizing regional normative legal acts as similar to provisions of law subjected to constitutional normative control; 7) to provide the Prosecutor's Office with powers to supervise the execution of decisions of the Constitutional Court of the Russian Federation; 8) to amend the Constitution of the Russian Federation and indicate the authority of the Constitutional Court of the Russian Federation to determine the executive body; 9) to change the regulatory and legal regulation aimed at expanding the mandatory powers of the Commissioner for Human Rights in the Russian Federation; 10) to specify the term of political activity with its current broad interpretation. The article also contains some recommendations aimed at improving the legislative regulation in the sphere of protection of civil rights and freedoms in modern Russia.