The present invention provides a rubber composition having more improved low heat build-up property and abrasion resistance, especially a rubber composition useful for the rubber composition used for a tread of tire, and the present invention also provides a tire having a tread prepared using the rubber composition. The rubber composition is one comprising 15 to 150 parts by weight of silica on the basis of 100 parts by weight of a rubber component, wherein the rubber component comprises not less than 10% by weight of a butadiene rubber which has a vinyl content of not more than 35% by weight and is modified with an un-substituted aminosilane compound.