A reciprocating compressor, comprising: an outer stator; an inner stator provided with a predetermined gap at an inner side of the outer stator; a mover configured to perform a reciprocating movement at a gap between the outer stator and inner stator; a piston coupled to the mover to perform a reciprocating movement therewith; a cylinder into which the piston is inserted to form a compression space while performing a reciprocating movement; a frame coupled to the cylinder; a first support member coupled to the outer stator to be coupled to the frame; and a second support member separated from the first support member but coupled to the inner stator to be coupled to the frame, wherein the second support member comprises: an inner circumferential surface support portion formed in a cylindrical shape to support an inner circumferential surface of the inner stator; and a lateral surface support portion extended in a flange shape from one lateral surface of the inner circumferential surface support portion to support one lateral surface of the inner stator, and wherein the mover comprises: a magnet holder coupled to the piston; and a magnet coupled to the magnet holder, characterized in that the second support member further comprises a fixing support portion extended and formed in the reciprocating direction of the piston with a predetermined distance along the circumferential direction from the lateral surface support portion to be coupled to the frame, wherein a through hole is formed at the magnet holder to allow the fixing support portion of the second support member to pass therethrough. an outer stator; an inner stator provided with a predetermined gap at an inner side of the outer stator; a mover configured to perform a reciprocating movement at a gap between the outer stator and inner stator; a piston coupled to the mover to perform a reciprocating movement therewith; a cylinder into which the piston is inserted to form a compression space while performing a reciprocating movement; a frame coupled to the cylinder; a first support member coupled to the outer stator to be coupled to the frame; and a second support member separated from the first support member but coupled to the inner stator to be coupled to the frame, wherein the second support member comprises: an inner circumferential surface support portion formed in a cylindrical shape to support an inner circumferential surface of the inner stator; and a lateral surface support portion extended in a flange shape from one lateral surface of the inner circumferential surface support portion to support one lateral surface of the inner stator, and an inner circumferential surface support portion formed in a cylindrical shape to support an inner circumferential surface of the inner stator; and a lateral surface support portion extended in a flange shape from one lateral surface of the inner circumferential surface support portion to support one lateral surface of the inner stator, and wherein the mover comprises: a magnet holder coupled to the piston; and a magnet coupled to the magnet holder, characterized in that the second support member further comprises a fixing support portion extended and formed in the reciprocating direction of the piston with a predetermined distance along the circumferential direction from the lateral surface support portion to be coupled to the frame, wherein a through hole is formed at the magnet holder to allow the fixing support portion of the second support member to pass therethrough. a magnet holder coupled to the piston; and a magnet coupled to the magnet holder, characterized in that the second support member further comprises a fixing support portion extended and formed in the reciprocating direction of the piston with a predetermined distance along the circumferential direction from the lateral surface support portion to be coupled to the frame, wherein a through hole is formed at the magnet holder to allow the fixing support portion of the second support member to pass therethrough.