The present invention relates to a tyre for vehicle wheels comprising at least one external structural element comprising at least one external structural element comprising a crosslinked elastomericmaterial obtained by crosslinking a crosslinkable elastomeric composition comprising (i) at least one diene elastomeric polymer, and (ii) a system for protection against ozone substantially free of polymeric static protective agents which essentially consists of at least one phenolic antioxidant in an amount substantially equal to or higher than 3 phr.