A heavy duty pneumatic radial tire comprises a carcass ply, a belt disposed at an outside of the carcass ply in the radial direction and comprised of two or more belt layers, at least one auxiliary belt layer disposed in a widthwise central portion of the belt at a width narrower than that of the belt, and a tread, wherein when the tire is mounted onto a design rim defined in TRA standard and inflated under an internal pressure corresponding to 10% of an air pressure defined in the TRA standard, a radius of curvature of an outer profile at both side regions of the tread (Rs) is made larger than a radius of curvature of the outer profile at a central region of the tread (Rc).