Russia is a country which is interested in mathematics education for gifted students for a long time. Some aspect of education for the gifted students in Russia(for example, mathematics curriculum, contents and activities of study, and selection of students in Russian physio-mathematics school) has already been studied. The purpose of this work was to introduce system of the mathematics education by correspondence for gifted students in Russia. In order to achieve this goal, we analyzed Russian literatures and articles published by the various physio-mathematics correspondence schools for gifted students. In this article, we gave some characteristics of the physio-mathematics correspondence schools for gifted students: various types of mathematics education by correspondence, curriculum, practical materials for mathematics education by correspondence.