Tire (1) comprising a carcass ply (2) that connects two beads (5) by way of two sidewalls (3), said carcass ply (2) being surmounted radially on the outside by a crown reinforcing zone (10) comprising a plurality of reinforcing strips (12, 14) disposed in at least two layers and coated in an elastomeric composition (13, 15), the mean overlap between the strips of the two layers being greater than 40%, the reinforcing strips (12, 14) being made of a thermoplastic film having a modulus greater than 0.9 GPa and preferably greater than 2 GPa in the main direction and in the transverse direction.