A heavy duty radial tire which is provided with traverse grooves extending between the tread edges and longitudinal grooves extending between the traverse grooves so as to form shoulder blocks arranged along each of the tread edges and inner blocks each disposed on the axially inside of one of the shoulder blocks. The longitudinal grooves between the shoulder blocks and the inner blocks have a depth Dga of 0.7 to 1.0 times the depth Dy of the traverse grooves, and the longitudinal grooves are each inclined at an acute angle with respect to the circumferential direction to have an axial extent range Y whose axial width W1 is in a range of from 1.0 to 10.0 times the width Wga. In a cross section of the tire under a normally inflated unloaded condition, the tread profile is made up of a center profile Si and a shoulder profile So. The shoulder profile So extends continuously from each of the axial ends of the center profile Si through an inflection point P to one of the tread edges. The center profile Si is a circular arc of a radius Rc having the center on the tire equatorial plane, and the shoulder profile So is a substantially straight line or alternatively an arc having less curvature than the center profile Si. The inflection point P is located within the axial extent range Y of the longitudinal grooves.