A linear compressor, comprising: a shell having both first and second ends open; a fixing bracket mounted on an inner circumferential surface of the shell; a first shell cover that covers the first end of the shell; a second shell cover that covers the second end of the shell; a compressor body accommodated in the shell to compress a refrigerant; a first support that supports a first end of the compressor body within the shell and coupled to the first shell cover in a state of being spaced apart from the shell; and a second support that supports a second end of the compressor body and fixed to the shell, wherein the first support includes: a first plate spring; a first spring connection portion that extends from a center of the first plate spring; and a first buffer fitted onto an outer circumferential surface of the first spring connection portion, wherein the first shell cover includes a cover support part into which the first buffer is fitted, wherein the second support includes: a second plate spring; a second buffer coupled to the second plate spring; and a coupling member that passes through the second buffer and is inserted into the fixing bracket, wherein a central longitudinal axis of the compressor body passes through a center of the first plate spring and a center of the second plate spring, wherein the first plate spring includes: an outer rim connected to the compressor body; an inner rim integrally coupled to the first spring connection portion; and a connection portion that connects the outer rim to the inner rim, wherein one or a plurality of holes through which a portion of the first spring connection portion passes are defined in the inner rim, and the first spring connection portion includes: a first portion that contacts a first surface of the first plate spring; a second portion that contacts a second surface of the first plate spring, which is opposite to the first surface; and a third portion that passes through a center of the inner rim to connect the first portion to the second portion. a shell having both first and second ends open; a fixing bracket mounted on an inner circumferential surface of the shell; a first shell cover that covers the first end of the shell; a second shell cover that covers the second end of the shell; a compressor body accommodated in the shell to compress a refrigerant; a first support that supports a first end of the compressor body within the shell and coupled to the first shell cover in a state of being spaced apart from the shell; and a second support that supports a second end of the compressor body and fixed to the shell, wherein the first support includes: a first plate spring; a first spring connection portion that extends from a center of the first plate spring; and a first buffer fitted onto an outer circumferential surface of the first spring connection portion, a first plate spring; a first spring connection portion that extends from a center of the first plate spring; and a first buffer fitted onto an outer circumferential surface of the first spring connection portion, wherein the first shell cover includes a cover support part into which the first buffer is fitted, wherein the second support includes: a second plate spring; a second buffer coupled to the second plate spring; and a coupling member that passes through the second buffer and is inserted into the fixing bracket, a second plate spring; a second buffer coupled to the second plate spring; and a coupling member that passes through the second buffer and is inserted into the fixing bracket, wherein a central longitudinal axis of the compressor body passes through a center of the first plate spring and a center of the second plate spring, wherein the first plate spring includes: an outer rim connected to the compressor body; an inner rim integrally coupled to the first spring connection portion; and a connection portion that connects the outer rim to the inner rim, an outer rim connected to the compressor body; an inner rim integrally coupled to the first spring connection portion; and a connection portion that connects the outer rim to the inner rim, wherein one or a plurality of holes through which a portion of the first spring connection portion passes are defined in the inner rim, and the first spring connection portion includes: a first portion that contacts a first surface of the first plate spring; a second portion that contacts a second surface of the first plate spring, which is opposite to the first surface; and a third portion that passes through a center of the inner rim to connect the first portion to the second portion. a first portion that contacts a first surface of the first plate spring; a second portion that contacts a second surface of the first plate spring, which is opposite to the first surface; and a third portion that passes through a center of the inner rim to connect the first portion to the second portion.