A coiling machine configured to coil a heated wire, said coiling machine comprising: a drive unit; a center roll adapted to rotate by a rotational force generated from said drive unit; a feeding roll disposed near the center roll and having an external surface facing an external surface of the center roll; a first positioning unit for moving the feeding roll close to or away from the center roll, said first positioning unit being provided at a body and being rotated by a rotational force generated from said drive unit thus moving a heated wire together with the center roll; at least one forming roll for forming the heated wire transferred by rotations of the center roll and the feeding roll into a coil shape; and a pitch control unit that is disposed near the at least one forming roll to come into contact with the coiled heated wire exiting the at least one forming roll, and to push a lateral surface of the coiled heated wire exiting the at least one forming roll to provide the coiled heated wire with a desired pitch, characterized by further comprising a bending unit for pushing a leading end of the heated wire fed between the feeding roll and the at least one forming roll to bend the leading end of the heated wire in a turning direction of the coiled heated wire, wherein the bending unit comprises: a bending pusher rotatably fitted over a rotating shaft of the at least one forming roll, and positioned near the feeding roll; a bending actuator for pressing a lateral surface of an end of the bending pusher to rotate the bending pusher about the rotating shaft and thus to bend a leading end of the heated wire; a spring adapted to be stretched during bending of the wire by the bending pusher, and to thereby accumulate elastic force for thereafter restoring the bending pusher to an initial position. a drive unit; a center roll adapted to rotate by a rotational force generated from said drive unit; a feeding roll disposed near the center roll and having an external surface facing an external surface of the center roll; a first positioning unit for moving the feeding roll close to or away from the center roll, said first positioning unit being provided at a body and being rotated by a rotational force generated from said drive unit thus moving a heated wire together with the center roll; at least one forming roll for forming the heated wire transferred by rotations of the center roll and the feeding roll into a coil shape; and a pitch control unit that is disposed near the at least one forming roll to come into contact with the coiled heated wire exiting the at least one forming roll, and to push a lateral surface of the coiled heated wire exiting the at least one forming roll to provide the coiled heated wire with a desired pitch, characterized by further comprising a bending unit for pushing a leading end of the heated wire fed between the feeding roll and the at least one forming roll to bend the leading end of the heated wire in a turning direction of the coiled heated wire, wherein the bending unit comprises: a bending pusher rotatably fitted over a rotating shaft of the at least one forming roll, and positioned near the feeding roll; a bending actuator for pressing a lateral surface of an end of the bending pusher to rotate the bending pusher about the rotating shaft and thus to bend a leading end of the heated wire; a spring adapted to be stretched during bending of the wire by the bending pusher, and to thereby accumulate elastic force for thereafter restoring the bending pusher to an initial position. a bending pusher rotatably fitted over a rotating shaft of the at least one forming roll, and positioned near the feeding roll; a bending actuator for pressing a lateral surface of an end of the bending pusher to rotate the bending pusher about the rotating shaft and thus to bend a leading end of the heated wire; a spring adapted to be stretched during bending of the wire by the bending pusher, and to thereby accumulate elastic force for thereafter restoring the bending pusher to an initial position.