The present invention provides a rubber composition for a tire tread comprising 100 parts by weight of a rubber component containing at least 5% by weight of natural rubber graft-copolymerized with an organic compound having an unsaturated bond andlor epoxidized natural rubber, and 5 to 150 parts by weight of carbon black and!or silica with a nitrogen-absorbing specific surface are of 100 to 300m.sup.2/g.