A linear compressor, comprising: a compressor casing connected to each of a suction inlet , through which a refrigerant is introduced into the linear compressor, and a discharge outlet , through which the refrigerant is discharged from the linear compressor; a compressor body disposed within the compressor casing to compress the refrigerant suctioned through the suction inlet and to discharge the compressed refrigerant to the discharge outlet , the compressor body including a cylinder having a compression space (P), a piston linearly reciprocating to compress the refrigerant in the compression space (P), and a motor assembly connected to the piston to drive the piston in the linear reciprocating motion; and a plurality of springs being adjustable in natural frequency to allow the piston to perform a resonant motion, a plurality of body supports to support the compressor body within the compressor casing , wherein the compressor casing comprises a base shell having a cylindrical shape to accommodate the compressor body , a first cover mounted on a first end of the base shell , the first cover being coupled to the suction inlet , and a second cover mounted on a second end of the base shell , the second cover being coupled to the discharge outlet , characterized in that the plurality of body supports are mounted on the compressor casing in a direction perpendicular to an axial direction of the compressor casing to support both ends of the compressor body , wherein each of the body supports includes: at least one elastic slit ; and a stress reducer on both ends of the at least one slit to reduce stress concentration. a compressor casing connected to each of a suction inlet , through which a refrigerant is introduced into the linear compressor, and a discharge outlet , through which the refrigerant is discharged from the linear compressor; a compressor body disposed within the compressor casing to compress the refrigerant suctioned through the suction inlet and to discharge the compressed refrigerant to the discharge outlet , the compressor body including a cylinder having a compression space (P), a piston linearly reciprocating to compress the refrigerant in the compression space (P), and a motor assembly connected to the piston to drive the piston in the linear reciprocating motion; and a plurality of springs being adjustable in natural frequency to allow the piston to perform a resonant motion, a plurality of body supports to support the compressor body within the compressor casing , wherein the compressor casing comprises a base shell having a cylindrical shape to accommodate the compressor body , a first cover mounted on a first end of the base shell , the first cover being coupled to the suction inlet , and a second cover mounted on a second end of the base shell , the second cover being coupled to the discharge outlet , characterized in that the plurality of body supports are mounted on the compressor casing in a direction perpendicular to an axial direction of the compressor casing to support both ends of the compressor body , wherein each of the body supports includes: at least one elastic slit ; and a stress reducer on both ends of the at least one slit to reduce stress concentration. at least one elastic slit ; and a stress reducer on both ends of the at least one slit to reduce stress concentration. <EOS>