A tyre comprising two beads, each bead comprising an annular reinforcing structure, a carcass reinforcement, anchored in the two beads by a turn-up around the annular reinforcing structure, so as to form a main portion and a wrapped-around portion. Each bead comprises a bead filler situated at least partially between the main portion and the wrapped-around portion of the carcass reinforcement. Each bead further comprises an outer strip situated axially on the outside of the wrapped-around portion of the carcass reinforcement. The bead filler has a thickness E(r), this thickness corresponding to the length of the intersection of the direction perpendicular to the main portion of the carcass reinforcement with the bead filler, r denoting the distance separating the point of intersection of the direction perpendicular to the main portion of the carcass reinforcement with the carcass reinforcement from the radially innermost point of the annular reinforcing structure. The 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 tyre, the ratio E(r)/ET(r) is greater than or equal to 0.3 and less than or equal to 0.5.