A linear compressor, comprising: a shell having a cylindrical shape and a horizontal central longitudinal axis; a fixing bracket provided on an inner circumferential surface of the shell; a compressor body accommodated in the shell in a state of being spaced apart from the inner circumferential surface of the shell to compress a refrigerant, the compressor body comprising a discharge cover assembly; a support connected to the fixing bracket to support the compressor body; and a coupling member that connects the support to the fixing bracket, wherein the support includes: a plate spring; a spring connection portion connected to a center of the plate spring, the spring connection portion being coupled to the compressor body; characterized in that a buffer is coupled to an edge of the plate spring, wherein the coupling member passes through the buffer and is coupled to the fixing bracket, and in that the compressor body includes: a protrusion that protrudes from a front surface of the discharge cover assembly; and an insertion portion that extends from a front surface of the protrusion and is configured to be inserted into a center of the spring connection portion, wherein a projection is provided on one of an outer circumferential surface of the insertion portion or an inner circumferential surface of the spring connection portion, and wherein a projection insertion groove into which the projection is inserted is defined in the other of the outer circumferential surface of the insertion portion or the inner circumferential surface of the spring connection portion, to prevent the spring connection portion and the insertion portion from relatively rotating with respect to each other. a shell having a cylindrical shape and a horizontal central longitudinal axis; a fixing bracket provided on an inner circumferential surface of the shell; a compressor body accommodated in the shell in a state of being spaced apart from the inner circumferential surface of the shell to compress a refrigerant, the compressor body comprising a discharge cover assembly; a support connected to the fixing bracket to support the compressor body; and a coupling member that connects the support to the fixing bracket, wherein the support includes: a plate spring; a spring connection portion connected to a center of the plate spring, the spring connection portion being coupled to the compressor body; characterized in that a buffer is coupled to an edge of the plate spring, wherein the coupling member passes through the buffer and is coupled to the fixing bracket, and in that the compressor body includes: a protrusion that protrudes from a front surface of the discharge cover assembly; and an insertion portion that extends from a front surface of the protrusion and is configured to be inserted into a center of the spring connection portion, wherein a projection is provided on one of an outer circumferential surface of the insertion portion or an inner circumferential surface of the spring connection portion, and wherein a projection insertion groove into which the projection is inserted is defined in the other of the outer circumferential surface of the insertion portion or the inner circumferential surface of the spring connection portion, to prevent the spring connection portion and the insertion portion from relatively rotating with respect to each other. a plate spring; a spring connection portion connected to a center of the plate spring, the spring connection portion being coupled to the compressor body; characterized in that a buffer is coupled to an edge of the plate spring, wherein the coupling member passes through the buffer and is coupled to the fixing bracket, and in that the compressor body includes: a protrusion that protrudes from a front surface of the discharge cover assembly; and an insertion portion that extends from a front surface of the protrusion and is configured to be inserted into a center of the spring connection portion, wherein a projection is provided on one of an outer circumferential surface of the insertion portion or an inner circumferential surface of the spring connection portion, and wherein a projection insertion groove into which the projection is inserted is defined in the other of the outer circumferential surface of the insertion portion or the inner circumferential surface of the spring connection portion, to prevent the spring connection portion and the insertion portion from relatively rotating with respect to each other. a protrusion that protrudes from a front surface of the discharge cover assembly; and an insertion portion that extends from a front surface of the protrusion and is configured to be inserted into a center of the spring connection portion, wherein a projection is provided on one of an outer circumferential surface of the insertion portion or an inner circumferential surface of the spring connection portion, and wherein a projection insertion groove into which the projection is inserted is defined in the other of the outer circumferential surface of the insertion portion or the inner circumferential surface of the spring connection portion, to prevent the spring connection portion and the insertion portion from relatively rotating with respect to each other.