Piston compressor with variable displacement

In a piston compressor with variable displacement, a valve body (34) is arranged movably adjacent to a main channel (32), which connects a suction opening (36) to a suction chamber (34). The valve body (34) serves to variably control an opening area of the main channel (32). An air damper (38) is coupled to the valve body (34) to dampen the vibration of the valve body (34). In addition, a bypass channel (39) is formed outside the air damper (38) for connecting the suction opening (36) to the suction chamber (24).