A radiator for a linear or curved mobile motor for removing the thermal distortion of a mover and a transporting member of a linear or curved mobile motor, and a high-accuracy, high-reliability linear or curved mobile motor using it. The linear or curved mobile motor includes a field pole having a plurality of permanent magnets with different magnetic poles arranged alternately along a field yoke, and an armature arranged opposite to the field pole via a magnetic gap and formed by winding a single or a plurality of coils around a core. The field pole is used as a stator and the armature being used as a mover that is relatively moved along the longitudinal direction of the stator. A thin plate heat pipe having therein thin holes for passing a hydraulic fluid is bright in close contact with the coil surface of the mover in parallel to a surface facing via a magnetic gap to constitute a heat absorbing unit and an end or part of the thin plate heat pipe is allowed to project from the magnetic gap to constitute a heat radiating unit.