Rubber composition for a pneumatic tire

There is provided a rubber composition for a pneumatic tire with the rubber processing and heat generating properties, and also the driving performance on dry pavement can be improved, the grip performance is maintained. The rubber composition for a pneumatic tire comprising a rubber component composed of a copolymer rubber having a glass transition temperature of -40 ° C or above, which has been obtained by copolymerization of 1,3-butadiene with styrene using an organic lithium compound as an initiator, alone or a mixture 50 wt .-% or more of copolymer rubber and 50 includes wt .-% or less of other diene rubber, silica and a silane coupling agent, and further includes a polymer gel, which is to diene polymer having a toluene swelling index Qi of less than 16 and a glass transition temperature of 20 to 80 ° C is in an amount of 1 to 30 parts by weight per 100 parts by weight of the rubber component.