A refrigerant wobble plate type compressor is disclosed which includes pistons for being reciprocated within respective cylinders by a wobble plate member. The wobble plate member is adjacently disposed and relatively rotatably borne on an inclining surface of an inclined rotor member. The inclined rotor member is secured on an inner end of a drive shaft. First and second end plates are mounted on one end and an opposite end of a compressor housing respectively. The first end plate comprises inlet and outlet ports, and defines discharge and suction chambers. The drive shaft is rotatably borne in the second end plate and extends from the exterior to the interior of the compressor housing. A first anti-friction thrust bearing assembly is mounted between an inner end surface of the second end plate and an opposite end of the inclining surface of the inclined rotor member. A second anti-friction thrust bearing assembly is mounted between the inclining surface of the inclined rotor member and the end surface of the wobble plate member facing the inclining surface of the inclined rotor member. The second anti-friction thrust bearing assembly comprises first and second annular race members and an annular rolling element cage assembly. The first annular race member is fixedly disposed on the end surface of the wobble plate member, and the second annular race member is disposed on the inclining surface of the inclined rotor member.