In the legal literature there are enough publications on the competence of local self-government, nevertheless this topic attracts attention of not only representatives of the legal science, but also economists and practitioners. Special interest to this institution of municipal law is connected with the controversial aspects relating not only to the very concept of the competence of the municipal formation, but also to the issues of its essence, nature, the distribution of powers between individual units of local government bodies and state authorities and government. These concepts have found some consolidation in the current Russian legislation both at the federal and regional levels, but this did not solve all the problems that arise in the process of exercising the powers available to municipal entities. The essence of the definition of the concept of the competence of local self-government and its correct use in law-making activities is of great importance for the regulation of the functions of local selfgovernment bodies, improving law-making technology, enhancing the role of normative acts, which will naturally affect the effectiveness of local self-government. In this article, an attempt is made to investigate the essence of the concept of the competence of local self-government as an institution of municipal law within the framework of the implementation of public authority, not only by the relevant bodies, but also by the population.