The use of focusing x-ray systems depends upon the specular reflection at grazing incidence. These systems require mirrors with both excellent surface figure and superior surface finish. In order to obtain an efficient predictable method of fabricating such optics, Perkin-Elmer's computer-controlled polishing techniques have been adapted for grinding and polishing cylindrical mirrors. This process accurately controls the time that the tool polishes at each surface location to achieve the prescribed surface material removal.