It is an object of the present invention to provide a method of making a magnetic disk having a uniform textured structure with micro-waviness of fabrication depth of less than 20 nm, preferably less than 10 nm, and a local depth deviation of less than 5%, in which texture patterns are characterized by the fact that lateral surfaces of the structure are sloped or curved. The object has been achieved in a method for making a magnetic disk, having micro-waviness on a fabrication surface of a substrate for reducing dynamic friction and controlling head float, by rotating and irradiating the fabrication surface with a high energy beam from a beam surface at an inclined angle to the substrate surface. The surface is irradiated through a shielding mask having a specific pattern, so as to produce a transcription pattern on the substrate surface to produce a textured structure with micro-waviness having sloped or curved side surfaces.