A radial motorcycle tire comprises a tread portion with a pair of tread edges, a pair of sidewall portions, a pair of bead portions each with a bead core therein, and a band disposed in the tread portion and composed of windings of at least one cord wound at an angle of not more than 5 degrees with respect to the tire equator. The tread portion is provided radially inside the band with at least two layers of cords comprising a radially outermost first layer and a radially inner second layer next to the first layer, wherein with respect to the tire equator, the cords of the first layer are inclined to a direction at an angle of from 65 to 90 degrees, and the cords of the second layer are inclined to the same direction as the first layer at an angle of from 65 to 90 degrees.