A pneumatic radial tire having improved cornering stability, service durability and rolling resistance is provided by using high-elasticity, high-strength vinylon fiber having specified elongation and strength as a cord material for at least one belt layer in a belt composed of at least two belt layers. Particularly, noise level can be reduced without damaging other tire performances by combining at least one layer of high-elasticity, high-strength vinylon fiber cords with at least one layer of steel cords as a belt of the tire.