The stars evolution is a change with a caurse of time the physical characteristics and the cemical composition of the stars. The stars evolution on the base of physical characteristics composition is investigated when the stars are at the different steps of evolution. The main steps of the stars evolution contain the formation of a protostar as a result of the gravitational instability of the interstar gas and dust, the occurence (in the centre of compressed star) of thermonuclear energy source, the transforming of the star to the giant  and then to the white dwarf (for the stars or the black holes formation). The star evolution is going in the compact double star system in its own ways.

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