The present invention discloses a linear compressor in which a piston is linearly reciprocated inside a cylinder, for sicking a refrigerant into a compression space between the piston and the cylinder, and compressing and discharging the refrigerant, and especially, a structure of discharging the refrigerant for the linear compressor which can reduce a pulsation of a high pressure discharged refrigerant, by making the refrigerant compressed in the compression space flow from a sub-discharge space with a relatively small volume to a sub-discharge space with a relatively large volume in a discharge chamber. As a result, the structure of discharging the refrigerant for the linear compressor can efficiently reduce noise and vibration.