This invention relates to a tire with a tread of rubber composition with reinforcing filler containing oxidized rubber reinforcing carbon black together with at least one amide additive. In one embodiment, the invention relates to a truck tire intended for heavy duty performance with a tread rubber composition comprised of natural cis 1,4-polyisoprene rubber containing reinforcing filler comprised of oxidized rubber reinforcing carbon black together with at least one amide additive. Such amide additive is comprised of at least one amide of Formula I: wherein R1 is an alkyl radical comprised of from 12 to 36 carbon atoms, an alkenyl radical comprised of from 12 to 36 carbon atoms or alkadienyl radical comprised of from 12 to 36 carbon atoms.