A machining method for an eyeglass lens blank in which a bock piece is connected, by way of a connecting material, to a first side of the eyeglass lens blank for holding and supporting the eyeglass lens blank in a processing machine, wherein to this end a cavity is made between the block piece and the first side, at least using a sealing or supporting means, wherein the sealing or supporting means has an inner diameter Dd, Ds and sits against the first side in a sealing manner, the connecting material is filled into the cavity or connecting material is provided in the cavity and then the connecting material is cured, the eyeglass lens blank is placed into a milling and/or turning or grinding machine by way of the block piece cast on by way of the connecting material, wherein the eyeglass lens blank is supported on the first side by the connecting material across a diameter Dv that corresponds to the diameter Dd, Ds and wherein the blank and the connecting material are worked off in one of the following machining processes. An eyeglass lens blank having a diameter Dr, said blank being fastened to a block piece through the cast-on connecting material, wherein the connecting material has an outer diameter Dv. The diameter Dv is at most 2 mm to 6 mm, in particular at most 4 mm and is less than diameter Dr.