The present invention relates to a tyre for vehicle wheels comprising at least one structural element comprising a cross-linked elastomeric material obtained by crosslinking a crosslinkable elastomeric composition comprising (a) at least one dienic elastomeric polymer; (b) at least one carbon black reinforcing filler; and (c) at least one functionalized lignin selected from the group consisting of esterified lignin and etherified and esterified lignin.