With the aim of creating new lithium-ion conducting oxide glasses for all-solid-state lithium-ion batteries, we tried to prepare the glasses in the compositions (50-x)Li2SO4∙xLi2WO4∙50LiPO3 (mol%) by use of a traditional melt-quenching method. The glass-transition temperatures of the obtained glasses were increased with an increase of the Li2WO4 contents. The bulk glasses showed relatively high lithium-ion conductivities in the range of 10-6 to 10-5 Scm-1 at room temperature. On the other hand, the pellets, which were obtained by pressing the powdered glass samples, showed the conductivities in the range of 10-7 to 10-6 Scm-1 at room temperature. The conductivities of the bulk glasses are about one order higher than those of the pellet samples. An all-solid-state battery was composed with the cathode composites of the cathode active materials LiNi1/3Mn1/3Co1/3O2 and the 25Li2SO4∙25Li2WO4∙50LiPO3 (mol%) glass as solid electrolyte. The all-solid-state battery showed good charge-discharge performance at 100°C.