A run-flat radial ply pneumatic tire (20) having a carcass (30) reinforced with elastomeric crescent shaped sidewall fillers (42) and two bead cores (41,41') is disclosed. A cord reinforced hoop (21) extends radially inwardly of one or more belt plies (50,51) about halfway between the lateral tread edges (14,16). A rubber insert (22) is interposed between the radially inner belt (50) and the hoop (21). The tire (20) made according to the invention provides excellent run-flat capability and exhibits improved ride over conventional run-flat tires.