The linear compressor comprises a shell (10) which affixes a cylinder (20) defining a compression chamber (21) housing a piston (30); a linear electric motor (40) having a fixed part (41) affixed to the shell (10) and a reciprocating movable part (42); an actuating means (50) driven by the movable part (42); an elastic means (60a) coupling the actuating means (50) to the piston (30), so that they are reciprocated in phase opposition. A supporting elastic means (70) connects the actuating means (50) to the shell (10) and presents a radial rigidity for supporting the lateral loads actuating on said movable part (42) and actuating means (50), and for minimizing the axial misalignments between the movable part (42) and the fixed part (41) of the linear electric motor (40), the supporting elastic means (70) presenting a minimum axial rigidity for allowing the displacement of both the piston (30) and the actuating means (50).