A linear compressor comprising: a cylinder having a pipe shape, including a piston installed therein, and configured to provide a movement path of the piston; a discharge valve configured to open and close one side of the cylinder and to form a compression space of a refrigerant together with the piston; a valve spring having a central portion connected to the discharge valve, including a spring arm (301a, 301b) spirally extending from the central portion toward an outer portion, and configured to press the discharge valve to close one side of the cylinder; and a spring support portion having a ring shape, having an outer circumferential surface coupled to a discharge cover, having an inner circumferential surface coupled to the outer portion of the valve spring, and configured to provide a support point for the valve spring to press the discharge valve, characterized in that the valve spring further comprises: a first spring arm spirally extending from the central portion; the outer portion spaced apart from the central portion in a radial direction and disposed on an outer side with respect to the central portion; a second spring arm spaced apart from the first spring arm in an axial direction of the cylinder and spirally extending according to a shape of the first spring arm from the outer portion; and a rubber damper connecting the first spring arm and the second spring arm and configured to fix relative positions of the first spring arm and the second spring arm. a cylinder having a pipe shape, including a piston installed therein, and configured to provide a movement path of the piston; a discharge valve configured to open and close one side of the cylinder and to form a compression space of a refrigerant together with the piston; a valve spring having a central portion connected to the discharge valve, including a spring arm (301a, 301b) spirally extending from the central portion toward an outer portion, and configured to press the discharge valve to close one side of the cylinder; and a spring support portion having a ring shape, having an outer circumferential surface coupled to a discharge cover, having an inner circumferential surface coupled to the outer portion of the valve spring, and configured to provide a support point for the valve spring to press the discharge valve, characterized in that the valve spring further comprises: a first spring arm spirally extending from the central portion; the outer portion spaced apart from the central portion in a radial direction and disposed on an outer side with respect to the central portion; a second spring arm spaced apart from the first spring arm in an axial direction of the cylinder and spirally extending according to a shape of the first spring arm from the outer portion; and a rubber damper connecting the first spring arm and the second spring arm and configured to fix relative positions of the first spring arm and the second spring arm. a first spring arm spirally extending from the central portion; the outer portion spaced apart from the central portion in a radial direction and disposed on an outer side with respect to the central portion; a second spring arm spaced apart from the first spring arm in an axial direction of the cylinder and spirally extending according to a shape of the first spring arm from the outer portion; and a rubber damper connecting the first spring arm and the second spring arm and configured to fix relative positions of the first spring arm and the second spring arm.