A tire for a motorcycle comprising a tread, sidewalls extending inwardly from both ends of the tread in a radial direction, bead portions positioned at the radially inward ends of the sidewalls, a toroidal reinforcement carcass composed of reinforcement cords which extend approximately parallel with each other in the radial direction of the tire and of which both end portions are turned up around bead cores, a breaker arranged on the radially outer side of the carcass, the breaker comprising reinforcement tire cords whose tensile strength is not less than 7 g/d and initial modulus is not less than 200 g/d laid at angles of 10.degree. to 45.degree. to the circumferential direction, and a band over the breaker and having a width greater than the breaker so as to axially extend past the outermost edges of the breaker and comprising parallel reinforcement cords laid at angles of 10.degree. to 25.degree. to the circumferential direction, the reinforcement cords of the band having a modulus less than the modulus of the reinforcement cords of the breaker.The tire has resistance to wear, good grip, and stable high speed running properties.