A radial motor-cycle tyre having improved lateral grip under camber with good stability has tread reinforced by two main breaker plies comprising parallel reinforcing cords oppositely inclined with respect to the tyre circumferential direction and a supplementary breaker ply disposed radially outward of the main breaker plies and comprising a cord reinforced central ply portion and to either side of the central ply portion an outer ply portion comprising rubber having no cord reinforcement. <IMAGE>