A compressor that inhales refrigerant gas from an external refrigerant circuit, compresses the inhaled refrigerant gas and discharges the compressed refrigerant gas, comprising a cylinder block having a plurality of bores, and a suction muffler chamber having a suction port connected to an external refrigerant circuit installed on the outer circumferential surface of the cylinder block, a front housing coupled to the front side of the cylinder block and forming a crank chamber, a driving shaft supported so as to freely rotate with respect to the cylinder block and the front housing, a single-headed piston connected to a slanting plate element mounted on the driving shaft and linearly reciprocating inside the bores of the cylinder block, and a rear housing connected to and closing the rear side of the cylinder block, having a discharge chamber and a suction chamber, and having two or more suction chamber connecting passages at an upstream side of the suction chamber.