Russia is a country which is interested in mathematics education for the gifted students for a long time. Some aspect of education for the gifted students in Russia (for example, mathematics curriculum of the Russian physio-mathematics school, mathematics education by correspondence for sifted students etc.) has been partially studied. The purpose of this work is to introduce various systems of the mathematics education for the gifted students in Russia, and to draw significant conclusion for systematizing gifted education in Korea. In order to achieve this goal, we analyzed Russian literatures and articles published in Russia by the physio-mathematics school, ministry of education, and etc. In this article, we gave some characteristics of the various types of gifted education in Russia, and the practical curriculum for the gifted education.