A vibration-damping device comprising: first and second attachment members connected elastically by a main rubber elastic body; an inner bracket fixed to the first attachment member with its basal end superposed on an outside end face of the first attachment member while extending laterally relative to the first attachment member; a bag-shaped stopper rubber mounted covering the basal end of the inner bracket in a non-adhesive way; a through hole formed in the stopper rubber so that the first attachment member inserted through it and the inner bracket are mutually fixed; and an elastic contact part provided at a rim of the through hole and pressed against an outer peripheral face of the first attachment member from a distal end side of the inner bracket so that the stopper rubber is positioned relative to the inner bracket in extension direction of the inner bracket.