According to the present invention, since the concavo-convex pattern of the embossing form is formed by electrical discharge machining, the peaks on the surface of the resultant embossing form are all of the same level or height, which enables the enhancement of the service life of the embossing form. Further, since the concavo-convex pattern of the embossing form is formed by electrical discharge machining, even a complicated and minute concavo-convex pattern can be formed. Accordingly, when applying the method of the present invention to, for example, the production of a substrate for a lithographic plate, an aluminum substrate for a lithographic plate which excels in plate wear, sensitivity and resistance to stains can be produced. And when applying the same to the production of an aluminum decorative laminate, an aluminum decorative laminate which excel in glossiness and paint adhesion can be produced.