A heavy duty pneumatic tire includes a clinch portion extending from the sidewalls to the beads. A concave curved surface extends on an outer surface of the clinch portion in a circumferential direction. A convex curved surface is engageable with the concave curved surface. A ratio R1/R2 of a radius of curvature of the concave curved surface to a radius of curvature of the convex curved surface, satisfies 1.7≦R1/R2≦3.9, a ratio D1/R2 of a depth of the concave curved surface to the radius of curvature of the convex curved surface satisfies 0.05≦D1/R2≦0.09, and the radius of curvature R1 of the concave curved surface and the radius of curvature R2 of the convex curved surface are each a radius of curvature of an arc on a cross section as taken along a plane including a center axis of the tire.