A double-headed piston type compressor includes front and rear housings, a cylinder block defining therein a crank chamber and a plurality of cylinder bores and having a shaft hole therethrough, a double-headed piston accommodated in the cylinder bores for reciprocating therein, a rotary shaft rotatably supported by the shaft hole, compression chambers defined by the cylinder bores, a suction chamber defined by the front housing and an introduction passage having a rotary valve for introducing refrigerant from the suction chamber into the compression chambers. The introduction passage includes a communication passage formed in the cylinder block for connecting the suction chamber to the shaft hole, suction passages connecting the shaft hole and the compression chambers and a recessed passage formed in the outer circumferential surface of the rotary shaft for connecting intermittently between the communication passage and the respective suction passages in accordance with the rotation of the rotary shaft.