We performed the preliminary study on the development of a rechargeable solid state lithium battery. We have used lithium ion conductive glass, Li3PO4-Li2S-SiS2, as an electrolyte, which exhibits high ionic conductivity. Investigation on TiS2/Li cells suggested that Li+ ion diffusion in the positive electrode controlled the charge-discharge capacity of the cell. The rate capability of the battery is considered to be improved by using Ag2S as a positive electrode material. Electrode properties of spherical graphite revealed that the graphite is a good candidate for negative electrode material in the solid state battery.