A heavy duty tire comprises a bead core disposed in each bead portion, and a carcass ply of steel cords extending between the bead portions. The edges of the carcass ply are winded around the bead cores from the axially inside to outside of the tire to form a pair of winded portions and a main portion therebetween. The winded portion around the bead core comprises an axially inwardly extending turnback part above the bead core, and a base part under the bead core. The base part is curved concavely so as to form a space between the base part and the bead core, and an anchor rubber having a complex elastic modulus of from 20 to 80 MPa is disposed in the space to tightly pinch the carcass cords between the anchor rubber and the bead seat of the wheel rim.