A spherical compressor is provided. A cylinder body and a cylinder head are combined to form a spherical inner cavity. A sliding chute swinging mechanism is arranged between a piston shaft and a piston shaft hole or between a turntable shaft and a turntable shaft hole. The turntable shaft is driven to rotate so that a piston swings along a sliding chute relative to the axis of the piston shaft hole, or a turntable swings along the sliding chute relative to the axis of the turntable shaft hole, so as to form a V1 working chamber and a V2 working chamber with alternatively variable volumes in the spherical inner cavity.