Pneumatic tires having sidewall reinforcing rubber and bead reinforcing layer

In a pneumatic tire comprising a tread portion, a pair of sidewall portions each extending inwardly from each side of the tread portion in a radial direction, a pair of bead portions each arranged at an inside of the sidewall portion in the radial direction, a carcass toroidally extending between a pair of bead cores each embedded in the respective bead portion and wound around the bead core from an inside of the tire toward an outside thereof in the radial direction to form a turnup portion, a bead filler arranged between a main body portion of the carcass and the turnup portion thereof and adjacent to an outer peripheral surface of the bead core, and a run-flat reinforcing rubber arranged at the inside of the sidewall portion in the widthwise direction of the tire and having substantially a crescent shape at cross section thereof, an improvement wherein at least one cord reinforcing layer made from a cord(s) extending in an angle direction of approximately 90° with respect to a radial line segment is arranged in a region ranging outward from a vicinity of the bead core in the radial direction and has a width in the radial direction of the tire corresponding to 10-50% of a section height of the tire.