A linear compressor for multi-compression includes a stationary cylinder, a moving piston, and a stationary piston. The stationary cylinder has a first compression chamber formed therein. The stationary cylinder is provided at one side thereof with an outlet part. The moving piston is movable forward and backward by a linear motor, that compresses a fluid in the first compression chamber. The moving piston has a second compression chamber formed and is provided, at the position where the second compression chamber communicates with the first compression chamber, with a first valve. The stationary piston is fixedly disposed in the compressor. The stationary piston is fitted in the moving piston so that the fluid in the second compression chamber is compressed as the moving piston is reciprocated.