Disclosed herein is a linear compressor having a stator cover, which is designed in such a fashion that a section of the stator cover not to be fastened with bolts has a curvature smaller than the remaining section thereof to be fastened with the bolt so as to be reduced in size thereof. This enables the stator cover to be spaced apart from the shell by a sufficient distance, thereby achieving a size reduction of the shell and a small-scale linear compressor.