Abstract: A tire for vehicle wheels, includes a carcass structure including at least one carcass layer having opposed side edges associated with relative annular reinforcing structures, a tread band applied in a radially outer position with respect to the carcass structure, and a pair of sidewalls laterally applied onto opposite sides with respect to the carcass structure; wherein the annular reinforcing structures include a crosslinked elastomeric material obtained by the crosslinking of a crosslinkable elastomeric composition including inorganic fibres of magnesium and/or aluminium silicates having nanometric dimensions, wherein the crosslinked elastomeric material has an elastic dynamic modulus E?, at 70° C. and a frequency of 10 Hz, higher than about 55 MPa.