A silicone rubber composition comprising (A) an organopolysiloxane containing at least two aliphatic unsaturated bonds, (B) an organopolysiloxane of resin structure comprising SiO2 units, R3nR4pSiO0.5 units and R3qR4rSiO0.5 units wherein R3 is vinyl or allyl, R4 is a monovalent hydrocarbon group free of aliphatic unsaturation, n is 2 or 3, p is 0 or 1, n+p=3, q is 0 or 1, r is 2 or 3, q+r=3, (C) an organohydrogenpolysiloxane having at least two SiH groups, and (D) a platinum catalyst cures into a silicone rubber having excellent rubbery and strength properties and little surface tack.