A linear compressor includes a frame, a cylinder disposed in the frame, a piston configured to axially reciprocate in the piston, a discharge valve disposed at a front of the piston, and a discharge cover assembly coupled to the frame and disposed at the front of the piston. The discharge cover assembly includes a discharge cover including an inner space, a first discharge plenum that is disposed in the inner space of the discharge cover and defines a first discharge space inside the first discharge plenum, and a second discharge plenum disposed between the first discharge plenum and the discharge cover. The second discharge plenum defines a second discharge space in fluid communication with the first discharge space and a third discharge space in fluid communication with the second discharge space between the first discharge plenum and the second discharge plenum.