A tire having a crown, two sidewalls and two tire beads, a carcass reinforcement anchored in the two tire beads and a belt reinforcement, said belt reinforcement including at least two superposed reinforcement plies formed with cords parallel in each ply and criss-crossed from one ply to the other forming with the circumferential direction angles (&agr;, &bgr;) ranging between 10° and 55° and characterized in that the cords of at least one of the two reinforcing plies are successively in contact, on the same side of said ply, moving from the tire equatorial plane towards one of the reinforcing ply lateral ends with a rubber bonding layer having a first modulus of elasticity and then a rubber bonding layer of a second modulus of elasticity lower than the first.