A glass for a display substrate composed of 50 to 70% SiO2, 10 to 25% Al2O3, 8.4 to 20% B2O3, 0 to 10% MgO, 6 to 15% CaO, 0 to 10% BaO, 0 to 10% SrO, 0 to 10% ZnO, 0 to 5% TiO2, 0 to 5% P2O5, 0.01 to 0.2% alkali metal, and from 0.01% to less than 0.4% ZrO2, as expressed in % by mass. The glass can have a β-OH value of 0.20/mm or more and an area of 0.1 m2 or more. The glass is produced by mixing raw materials to provide the SiO2, Al2O3, B2O3, MgO, CaO, BaO, SrO, ZnO, TiO2, P2O5 and alkali metal contents, electrically melting the raw materials in a melting furnace constructed of a high zirconia refractory; and refining, homogenizing and forming the glass melt.