A pneumatic tyre (1) and a method of making the same, in which the steering performances are improved without increasing tyre weight. The tyre comprises a toroidal carcass ply (6) composed of cords (11A,11B) arranged radially at the same angle to the tyre equator and extending continuously between the bead portions (4) under the tread portion (2) and through sidewall portions (3), and the carcass ply (6) is increased in thickness partially in at least the tyre shoulder portion (Y1). The method comprises the step of heating the raw tyre, having assembled a raw carcass ply of cords having at least two different heat-shrinkage-percentages. <IMAGE>
