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 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 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 . <EOS>