The lamp bulb for discharge lamps is made from an aluminosilicate glass with a transformation temperature Tg>600.degree. C. The aluminosilicate glass has a composition (in % by weight, based on oxide content) of SiO.sub.2>55-64; Al.sub.2O.sub.3, 13-18; B.sub.2O.sub.3, 0-5.5; MgO, 0-7; CaO, 5-14; SrO, 0-8; BaO, 6-17; ZrO.sub.2, 0-2; TiO.sub.2, 0-5, but may contain small amounts of CeO.sub.2 and/or Fe.sub.2O.sub.3, for anti-solarization and fining agents, such as SnO.sub.2, Sb.sub.2O.sub.3 and/or As.sub.2O.sub.3. The lamp bulbs for the discharge lamps of the invention may include a melted-in molybdenum electrode and/or an electrode feed or they may be free of any internal electrodes. A method for making the lamp bulbs is also described.