A variable displacement compressor with a variable angle non-rotary wobble plate, having a suction chamber for refrigerant before compression, a discharge chamber for refrigerant after compression, suction and compression cylinders, pistons reciprocating in the cylinders, a crankcase receiving therein a wobble plate mechanism connected to pistons to cause reciprocating motion of the pistons and capable of changing the wobble angle thereof, a first passage for communicating the crankcase interior with the discharge chamber, a shutoff valve unit for closing and opening the first passage, a second passage for communicating the crankcase interior with the suction chamber to extract the refrigerant from the crankcase interior into the suction chamber, and a valve control unit for controlling the operation of the shutoff valve unit in response to a change in a fluid pressure in the crankcase interior with respect to a predetermined pressure level thereby controlling the wobble angle of the wobble plate mechanism.