A mercury-free arc tube for a discharge-lamp device having a sealed glass chamber with at least metallic halide for main light emission and rare gas. Both end openings of a glass tube are pinch-sealed and electrode bars are provided so as to oppose to each other. Each electrode bar has such a concentric stepped shape that a tip side region is thicker than a base side region, the volume V of an electrode embedded region is from 0.25 to 0.42 mm3 and the total volume of the electrode bar is from 0.4 to 0.6 mm3.