A linear compressor comprising: a shell defining an outer appearance of the compressor; a cylinder disposed in the shell to define a compression space; a piston installed to reciprocate within the cylinder; a motor assembly moving the piston in an axial direction of the cylinder to compress a refrigerant introduced into the compression space; and a filter assembly (200, 300) installed in a gas inflow part passing through the cylinder, wherein the filter assembly (200, 300) comprises: a filter bracket (210, 310) having a hole (211a, 311a) and seated on the gas inflow part; and a filter member (220, 330) seated on the filter bracket (210, 310), wherein the gas inflow part comprises: a seat groove recessed inward from an outer circumferential surface of the cylinder in a radial direction, the seat groove defining a seat surface on which the filter assembly (200, 300) is seated; and a through-hole passing from the seat groove to an inner circumferential surface of the cylinder, wherein the seat groove has a diameter greater than that of the through-hole, characterized in that the filter bracket (210, 310) comprises: a plate (211, 311) having the hole (211a, 311a), one surface contacting the filter member (220, 330) and another surface contacting the seat surface; and an extension part (213, 313) extending upward along an edge of the plate (211, 311), wherein the filter member (220, 330) is accommodated in an inner space defined by the extension part (213, 313), wherein the hole (211a, 311a) of the plate (211, 311) has a diameter (C1, C2) smaller than that of the through-hole. a shell defining an outer appearance of the compressor; a cylinder disposed in the shell to define a compression space; a piston installed to reciprocate within the cylinder; a motor assembly moving the piston in an axial direction of the cylinder to compress a refrigerant introduced into the compression space; and a filter assembly (200, 300) installed in a gas inflow part passing through the cylinder, wherein the filter assembly (200, 300) comprises: a filter bracket (210, 310) having a hole (211a, 311a) and seated on the gas inflow part; and a filter member (220, 330) seated on the filter bracket (210, 310), wherein the gas inflow part comprises: a seat groove recessed inward from an outer circumferential surface of the cylinder in a radial direction, the seat groove defining a seat surface on which the filter assembly (200, 300) is seated; and a through-hole passing from the seat groove to an inner circumferential surface of the cylinder, wherein the seat groove has a diameter greater than that of the through-hole, characterized in that the filter bracket (210, 310) comprises: a plate (211, 311) having the hole (211a, 311a), one surface contacting the filter member (220, 330) and another surface contacting the seat surface; and an extension part (213, 313) extending upward along an edge of the plate (211, 311), wherein the filter member (220, 330) is accommodated in an inner space defined by the extension part (213, 313), wherein the hole (211a, 311a) of the plate (211, 311) has a diameter (C1, C2) smaller than that of the through-hole. a filter bracket (210, 310) having a hole (211a, 311a) and seated on the gas inflow part; and a filter member (220, 330) seated on the filter bracket (210, 310), wherein the gas inflow part comprises: a seat groove recessed inward from an outer circumferential surface of the cylinder in a radial direction, the seat groove defining a seat surface on which the filter assembly (200, 300) is seated; and a through-hole passing from the seat groove to an inner circumferential surface of the cylinder, wherein the seat groove has a diameter greater than that of the through-hole, characterized in that the filter bracket (210, 310) comprises: a plate (211, 311) having the hole (211a, 311a), one surface contacting the filter member (220, 330) and another surface contacting the seat surface; and an extension part (213, 313) extending upward along an edge of the plate (211, 311), wherein the filter member (220, 330) is accommodated in an inner space defined by the extension part (213, 313), wherein the hole (211a, 311a) of the plate (211, 311) has a diameter (C1, C2) smaller than that of the through-hole. a seat groove recessed inward from an outer circumferential surface of the cylinder in a radial direction, the seat groove defining a seat surface on which the filter assembly (200, 300) is seated; and a through-hole passing from the seat groove to an inner circumferential surface of the cylinder, wherein the seat groove has a diameter greater than that of the through-hole, characterized in that the filter bracket (210, 310) comprises: a plate (211, 311) having the hole (211a, 311a), one surface contacting the filter member (220, 330) and another surface contacting the seat surface; and an extension part (213, 313) extending upward along an edge of the plate (211, 311), wherein the filter member (220, 330) is accommodated in an inner space defined by the extension part (213, 313), wherein the hole (211a, 311a) of the plate (211, 311) has a diameter (C1, C2) smaller than that of the through-hole. a plate (211, 311) having the hole (211a, 311a), one surface contacting the filter member (220, 330) and another surface contacting the seat surface; and an extension part (213, 313) extending upward along an edge of the plate (211, 311), wherein the filter member (220, 330) is accommodated in an inner space defined by the extension part (213, 313), wherein the hole (211a, 311a) of the plate (211, 311) has a diameter (C1, C2) smaller than that of the through-hole.