A piston type compressor includes a housing forming a cylinder bore. A drive shaft is supported by the housing. A cam plate is coupled to the drive shaft and is rotated by the rotation of the drive shaft. A piston is accommodated in the cylinder bore and is coupled to the cam plate. The rotation of the cam plate is converted into the reciprocating movement of the piston. In accordance with the reciprocating movement of the piston, gas is introduced into the cylinder bore, is compressed and is discharged from the cylinder bore. Compression reactive force is generated in compressing the gas by the piston, is transmitted to the housing through a compression reactive force transmission path and is received by the housing. A vibration damping member is made of a predetermined vibration damping alloy and is placed at least one location along the compression reactive force transmission path.