An addition curable self-adhesive silicone rubber composition comprising (A) an organopolysiloxane containing alkenyl at either end, (B) an organosilicon compound containing phenylene and SiH group, (C) an organohydrogenpolysiloxane containing two SiH groups, (D) an organohydrogenpolysiloxane containing at least three SiH groups, and (E) an addition reaction catalyst is integrally moldable with thermoplastic resins.