A bias tire comprises a tread portion, a pair of sidewall portions, a pair of bead portions each with a bead core therein, a carcass extending between the bead portions and comprising two cross plies of cords, and a tread rubber disposed radially outside a crown portion of the carcass to define a tread face, wherein the loss tangent of the tread rubber is in a range of 0.40 to 0.60 under a temperature of 50 deg.C., the distance between the tread rubber and the adjacent cords of the radially outermost carcass ply is at most 1.0 mm, and the two cross plies include at least one ply of PEN cords made of polyethylene 2,6 naphthalate fibers twisted together.