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, a piston linearly reciprocating to compress the refrigerant in the compression space, 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 (520, 560) 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 (520, 560) 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 (520, 560) includes: at least one elastic slit (504, 506, 508); and a stress reducer on both ends of the at least one slit (504, 506, 508) 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, a piston linearly reciprocating to compress the refrigerant in the compression space, 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 (520, 560) 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 (520, 560) 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 (520, 560) includes: at least one elastic slit (504, 506, 508); and a stress reducer on both ends of the at least one slit (504, 506, 508) to reduce stress concentration. at least one elastic slit (504, 506, 508); and a stress reducer on both ends of the at least one slit (504, 506, 508) to reduce stress concentration.