A pneumatic tire for use on a motorcycle, comprising a tire cover having a tread portion, a pair of opposed side walls integral with the tread portion and a pair of opposed bead portions integral with the respective side walls and adapted to firmly engage with associated rim flanges of a wheel rim. The tire cover includes a reinforcing structure for preventing the tire from collapsing when it is at least partially deflated, which reinforcing structure comprises a bias-ply carcass and a reinforcement layer. The reinforcement layer has both ends terminating adjacent and in spaced relation to the bead cores within the bead portions and is made of a plurality of juxtaposed textile cords. The reinforcing structure may have a pair of side reinforcing layers embedded in the tire cover adjacent the respective side walls.