A pneumatic radial tire having a tread (1) of asymmetrical profile is disclosed. A circumferential location at which the tread has its maximum outer diameter is deviated from the tire equator outwardly opposite to the side on which the tire is to be mounted to a vehicle, by a distance L equal to from 0.05 to 0.30 times the width W of the tread. A ratio of d₂/d₁ is equal to from 0.98 to 1.00 in which d₁ and d₂ are diameters of shoulders (2, 2ʹ) of the tread on the mounted tire outer side and mounted tire inner side, respectively. The susceptibility of the tires to uneven wear such as shoulder drop uneven wear, river wear and one side wear is improved.