In a tire having two beads, each bead has a bead filler situated at least partially between a main portion and a wrapped-around portion of a carcass reinforcement and an outer strip situated axially outside of the wrapped-around portion of the carcass reinforcement. The bead filler has a thickness E(r). An assembly formed by the bead filler and the outer strip has a thickness ET(r). For all the points of intersection of which the radial distance from the radially innermost point of the annular reinforcing structure is greater than or equal to 10% and less than or equal to 35% of the radial height H of the tire, the ratio E(r)/ET(r) is greater than or equal to 0.3 and less than or equal to 0.5.