A swash plate type compressor comprises a cylinder block having formed therein a compartment accommodating therein a swash plate and a plurality of axial cylinder bores each receiving therein a reciprocally movable double-headed piston. The compressor further comprises a drive shaft having formed therein a discharge passage in communication with front and rear discharge chambers in front and rear housings, respectively, which are fastened to the axial ends of the cylinder block. The drive shaft is supported by a pair of front and rear tapered roller bearings and these two bearings are arranged in such a way that at least part of refrigerant gas discharged into either one of the discharge chambers flows through both of the front and rear bearings so that the bearings are lubricated by oil contained in and entrained by the refrigerant gas.