PURPOSE: To improve the straight advance stability and turning traveling stability and improve the handling operation performance in the high speed traveling.

CONSTITUTION: The first radial tire 2 having a belt layer including a sheet shaped belt ply consisting of organic fiber cards having a modulus of elasticity of 600kg/mm or more is installed on a front wheel A of a motorcycle, and the second radial tire 3 having a belt layer including a belt ply which is formed by winding a strip-shaped ply in which the organic fiber cords having a modulus of elasticity of 600kg/mm or more are embedded into a topping rubber, in a spiral form in inclination by a small angle with respect to the tire equator line is installed on a rear wheel B.