A transparent substrate for a cover for a solar battery and a method for producing the same are presented. Hemispherical concave portions are formed in a surface of light entering side of a cover glass almost over the entire surface wherein the ratio d/D of the depth d of the central portion of each concave portion to the radius D of the opening of the concave portion is from 0.10 to 0.50 and the proportion of area occupied by a flat portion where no concave portion is formed in the surface of light entering side is not more than 40%.