A wire-discharge machining apparatus controls a short circuit between a wire electrode and a workpiece and wire-breakage, and makes it easy to improve productivity, by performing power supply control to mix an upper-side power supply state in which a high-frequency pulse voltage is applied from an upper-side power supplying unit, a lower-side power supply state in which the high-frequency pulse voltage is applied from a lower-side power supplying unit, and a both-sides power supply state in which the high-frequency pulse voltage is applied to the wire electrode from both power supplying units in synchronization with each other during a period of electric discharge machining.