The wire electric-discharge machining apparatus is provided with an inter-pole voltage correction unit 109 which corrects a voltage corresponding to an inter-pole voltage according to a correction coefficient which increases with an elongation of discharge stop time. A corrected voltage corresponding to the inter-pole voltage output from the inter-pole voltage correction unit 109 is given to a control unit 106 to allow a wire electrode 101 and a workpiece 102 to relatively move according to the corrected voltage corresponding to the inter-pole voltage.