A heavy duty high speed cross ply tire has a carcass composed of at least one aromatic polyamide fiber cord ply, the product T 2ROOT D of the cable twist number T (turns/10 cm) of the belt cord and the square root of the total denier number D (deniers) of the cord is 2.466x103 to 3.036x103 and the elongation E (%) at breakage of the belt cord divided by the total denier number D is 7.78x10-4 to 12.22x10-4.