A linear motor of the present invention has: a stator having a stationary iron core and a magnet wire; a mover having a moving iron core and a magnet; and a plate-shaped elastic member for supporting the mover in a manner to rock in the rocking directions. This construction eliminates a sliding portion for supporting the mover so that it can reduce the loss, which might otherwise accompany the reciprocation of the mover. Moreover, a linear compressor using this linear motor is high in efficiency and reliability.