A pneumatic tire for a vehicle, said tire being intended to be mounted on wheel mounting rims of the vehicle and having a predetermined mounting direction on the vehicle, wherein an inner side of the tire (P INT) corresponds to an inner axial side of the vehicle and an outer side of the tire (P EXT) corresponds to the outer side of the vehicle, said tire comprising a summit with a tread having asymmetric tread elements for contacting the ground, and the tire being provided with a sealed inner liner that defines a cavity of the tire when the tire is mounted on a mounting rim, wherein a first noise damper is circumferentially affixed to an inner surface facing the cavity of the tire, the first noise damper being positioned in the cavity of the tire toward an outer side of the tire and being off-center relative to a median plane (C 300) of the tire, and a second noise damper is circumferentially affixed to the inner surface facing the cavity of the tire, the second noise damper being positioned in the cavity of the tire towards an inner side of the tire and being off-center relative to a median plane (C 300) of the tire, and the second noise damper being affixed axially externally relative to the median plane of the tire; wherein the center of gravity of the set of noise dampers (330, 332) is located toward the outer side of the tire; the tire being characterised in that: each noise damper (330, 332) comprises a foam strip that is circumferentially affixed to the inner surface of the tire facing the cavity of the tire, and each foam strip has a continuous length, and each foam strip has a continuous width (L 330, L 332) and a continuous thickness (E 330, E 332) over the entire continuous length of the foam strip; wherein the tread comprises a plurality of circumferential grooves, including primary grooves (318, 318') having respective widths (L 318, L 318'), an inner groove closer to the inner side of the tire and having a width (L 320), and an outer groove closer to the outer side of the tire having a width (L 322); and the width (L 320) of the inner groove and the width (L 322) of the outer groove are different from each other and are also different from the widths (L 318, L 318') of the primary grooves (318, 318') such that the tread has tread elements that are asymmetric with respect to the median plane (C 300) of the tire; wherein the first noise damper is disposed axially directly facing radially opposite the primary groove as well as the outer groove, and the second noise damper is disposed axially directly facing radially opposite the inner groove; and wherein an axially inner edge of the first damper coincides with a line passing through a point of intersection between a base and a wall of the primary groove. each noise damper (330, 332) comprises a foam strip that is circumferentially affixed to the inner surface of the tire facing the cavity of the tire, and each foam strip has a continuous length, and each foam strip has a continuous width (L 330, L 332) and a continuous thickness (E 330, E 332) over the entire continuous length of the foam strip; wherein the tread comprises a plurality of circumferential grooves, including primary grooves (318, 318') having respective widths (L 318, L 318'), an inner groove closer to the inner side of the tire and having a width (L 320), and an outer groove closer to the outer side of the tire having a width (L 322); and the width (L 320) of the inner groove and the width (L 322) of the outer groove are different from each other and are also different from the widths (L 318, L 318') of the primary grooves (318, 318') such that the tread has tread elements that are asymmetric with respect to the median plane (C 300) of the tire; wherein the first noise damper is disposed axially directly facing radially opposite the primary groove as well as the outer groove, and the second noise damper is disposed axially directly facing radially opposite the inner groove; and wherein an axially inner edge of the first damper coincides with a line passing through a point of intersection between a base and a wall of the primary groove.