A tyre for motor vehicles, includes: a carcass structure; a belt structure applied in a position radially external to the carcass structure and a tread band; the tyre having a transverse curvature ratio of at least about 0.30, the carcass structure including at least one carcass layer including textile reinforcement elements obtained by means of cords having, in a load/elongation diagram, an elastic response of at least 55 N at an elongation of about 2%; and at least one tread portion comprising a cured elastomeric material obtained by curing an elastomeric compound including 100 phr of at least one elastomeric polymer, from 30 to 130 phr of at least one reinforcement filler including at least 60% of an inorganic material selected from among silica, alumina, silicates, hydrotalcite, calcium carbonate, kaolin, titanium dioxide and their mixtures, and from 1 to 35 phr of at least one resin.