A tire comprising two beads (20) configured to come into contact with a mounting rim, two sidewalls (30) extending the beads radially to the outside, the two sidewalls being joined together in a crown comprising a crown reinforcement (80, 90) extending axially between two axial ends and surmounted by a tread (40), and a carcass reinforcement (60) comprising a plurality of carcass reinforcing elements (61), the carcass reinforcement being anchored in the two beads and extending across the sidewalls to the crown. The crown comprises, radially on the inside of the tread and radially on the outside of the carcass reinforcement, at least one first layer (111-114) of rubber mix having a modulus of elasticity which is greater than or equal to 50 MPa, this first layer extending from the median plane (150) of the tire axially to the outside, on both sides of the median plane, as far as an axial distance (Dp) from the median plane which is less than the axial distance (Da) from the median plane to the axial end of the crown reinforcement, this first layer being extended axially to the outside, on both sides of the median plane, by a second layer (121-124) of rubber mix having a modulus of elasticity which is less than or equal to 20 MPa.