A machining program creation apparatus for a wire electrical discharge machine for creating a machining program for cutting a predetermined machining shape in an object to be machined includes a first unit defining the machining shape; a second unit defining a shape of the object to be machined; a third unit designating a reference position to be used when the machining shape is machined; a fourth unit for generating a first machining path for cutting the machining shape based on the machining shape, the shape of the object to be machined, and the machining reference position; a fifth unit for generating the shape of the object to be machined as a second machining path based on the shape of the object to be machined and the machining reference position; and a sixth unit for drawing the first and the second machining paths on the same screen.