A tire with a crown reinforcement that comprises at least three plies of reinforcing elements. At least a first profiled element P1 has an axially outer end that is situated at a distance from the equatorial plane of the tire which is less than the distance separating the plane from the end of a second ply. The profiled element P1 is radially separated from the radially outer liner C1 of a first ply by a second profiled rubber compound element G1. At least a third profiled element P2 has an axially outer end that is situated at a distance from the equatorial plane of the tire which is less than the distance separating the plane from the end of a third ply. The profiled element P2 is radially separated from the radially inner liner C2 of the first ply by a fourth profiled rubber compound element G2. The profiled rubber compound elements P1, P2 and G1, G2 and the liners C1, C2 have respective tensile secant moduli of elasticity at 10% elongation MP1, MP2, MG1, MG2, MC1, MC2 such that MC1≧MG1>MP1 and MC2≧MG2>MP2.