Abstract: A method of controlling a wire-cut electric discharge machine to improve machining accuracy in a machining operation for a corner portion of a workpiece to be machined. In a case where the portion to be machined includes a corner, a pressure and/or an amount of machining fluid supplied to a gap between the workpiece and a wire electrode is decreased only in a specified section. The setting of this specified section and adjustment of the machining fluid is carried out on the basis of an allowable discrepancy amount, and shape and size of the corner. Furthermore, in addition to decreasing electric discharge energy supplied between the workpiece and the wire electrode, the machining fluid may be adjusted within the specified region.