The present invention improves the quality and productivity in a coating peeling-off process in which the coating at an intermediate portion along the length of a wire is peeled off in order to expose a conductor inside the coated wire, while enabling coatings at intermediate portions along the length of multicore wires or small-diameter wires to be peeled off.In a primary process, a heating jig 16 is brought into press contact with the upper half portion of the coating of the peeling-off designated portion at an intermediate portion along the length of coated wires 1 so as to press down the coating downwardly relative to the transverse direction of the wires, whereby a coating peeled-off portion 20 in which a part of conductors 2 is exposed is formed. Afterwards, in a secondary process, the coating of the coating peeled-off portion 20 is cut and press held at the ends thereof by cutting and peeling-off blades 13 adapted to operate from the ends of the coating peeled-off portion 2 toward the center thereof so as to remove the coating of the coating peeled-off portion 20, whereby a coating peeled-off portion 131 is formed.