A run-flat tire comprises a carcass comprising at least one carcass ply of cords extending between a pair of bead portions through a tread portion and sidewall portions, a sidewall reinforcing rubber layer disposed in each sidewall portion and tapering towards its radially inner end and outer end from a central portion to have a crescent shape in a meridian section of the tire, and a reinforcing cord layer disposed axially outside of each sidewall reinforcing rubber layer and comprising at least one reinforcing ply with cords inclined with respect to a radial direction of the tire.