The silicone rubber composition of the present invention comprises: (A) an organopolysiloxane having at least two alkenyl groups in a molecule and free of an aryl group; (B) (B-1) an organosiloxane having in a molecule at least one aryl group, at least one silicon-bonded hydrogen atom, and free of an alkenyl group, or a mixture of components (B-1) and (B-2) an organosiloxane having in a molecule at least one aryl group and at least one alkenyl group; (C) an acrylic compound or a methacrylic compound; (D) an organopolysiloxane having at least two silicon-bonded hydrogen atoms in a molecule andfree of an aryl group and an alkenyl group; and (E) a hydrosilylation reaction catalyst. The silicone rubber composition exhibits excellent adhesive properties with respect to diverse organic resins it comes into contact with during its cure, and at the same time possesses excellent mold-release properties with respect to metal dies used for its molding.