The present invention provides a run-flat tire provided with a reinforcing rubber layer 9 arranged in a side wall section 2 so as to be formed in a crescent cross sectional shape, an annular protrusion section 10 protruding to an outer side in a tire width direction from at least one of bead sections 1, and having an inner peripheral side surface 11 facing to an outer peripheral side curved surface of a rim flange 8a at a time of installing a specified rim, and an annular bead 1b arranged in the annular protrusion section 10, in which the run-flat tire is provided with a ridge section 23 connecting to an outer side in the tire width direction from an inner peripheral side surface 11 of the annular protrusion section 10 so as to protrude to an inner peripheral side of the tire, and having an inner diameter smaller than an outer diameter of the rim flange 8a, and a soft rubber layer 15 arranged in the ridge section 23 and having a corner section 16 tapered toward the tire inner peripheral side.