An object of the present invention is to provide a wobble plate compressor equipped with a mechanism for preventing the rotation of the wobble plate which is simply structured, producible at low cost, and does not cause heavy noise or vibration.A wobble plate compressor comprises a main shaft driven by a power source, a wobble plate driven by the main shaft to swing, a piston connected to the wobble plate by a connecting rod, and a cylinder bore extending parallel to the main shaft to accept the piston. The connecting rod is connected to the wobble plate by a ball joint, precession of the connecting rod is allowed when the piston moves reciprocally, and the outer circumferential surface of the piston is forced against the inner circumferential surface of the cylinder bore when the wobble plate is driven by the main shaft to rotate and the connecting rod is driven by the rotating wobble plate to swing beyond the range of the precession. Thus, rotation of the wobble plate is prevented.