The present invention is directed to a pneumatic tire having a rubber component including (A) 100 parts by weight (phr) of a rubber containing olefinic unsaturation; (B) from 50 to 100 phr of silica; (C) from 1 to 40 phr of a polyoctenamer. In another embodiment, the invention is directed to a pneumatic tire having a rubber component further including (D) from 1 to 30 phr of a rubber gel selected from the group consisting of polybutadiene gel, styrene butadiene gel, acrylonitrile-butadiene gel, chloroprene gel, natural rubber gel, and mixtures thereof.