A winding apparatus includes a wire position support including first and second wire route hole in which first and second wires, respectively, are inserted, a winding driver that orbitally revolves the wire position support around a core of a coil component such that the first and second wires are wound around the core while twisted, a rotator that rotates the core, and a controller that controls the winding driver and the rotator. The controller performs first control, which orbitally revolves the wire position support in a first direction and rotates the core in an opposite second direction opposite, and second control, which orbitally revolves the wire position support in the second direction and rotates the core in the first direction, and switches between the first and second controls based on a predetermined condition, to prevent a kink of a wire between a wire feeder and a wire position support.