An object is to enable highly accurate machining by correcting machining conditions by referring to a programmed trajectory to obtain a desired machining shape. A wire electric discharge machining apparatus includes a machining-condition correcting unit that corrects machining conditions in each machining stage corresponding to a circular arc radius of a portion corresponding to a corner portion of a programmed trajectory, in the corner portion formed by changing a direction of relatively moving a wire electrode, when the wire electrode is moved on a wire center trajectory, which is offset from the programmed trajectory prestored in order to obtain a desired machining shape to perform finish machining in each machining stage with an offset amount being changed.