A variable capacity type compressor has a swash plate, pistons reciprocating in the cylinder bores, a suction chamber, and a discharge chamber. A check valve arranged in the compressor. The check valve has a valve seat member having a flow passage and a valve seat, a case attached to the valve seat member, and a valve element arranged in the case for cooperation with the valve seat. The case has a communication hole formed therethrough to allow the gas to flow from the flow passage through the communication hole to the outside circuit. The case has a damper chamber formed therein on the back side of the valve element to damp vibration of the valve element.