The present invention relates to a silicone rubber composition comprising: (A) a diorganopolysiloxane having at least two alkenyl groups in a molecule; (B) an organopolysiloxane resin consisting essentially of R3SiO1/2 units and SiO4/2 units, wherein each R is independently selected from the group consisting of monovalent hydrocarbon and monovalent halogenated hydrocarbon groups, however, at least one R in a molecule is an alkenyl group, and the mole ratio of R3SiO1/2 units to SiO4/2 units is from 0.5 to 1.4; (C) an organohydrogenpolysiloxane having at least two silicon-bonded hydrogen atoms in a molecule; (D) silica fine powder; and (E) a hydrosilylation reaction catalyst. The silicone rubber composition can be cured quickly by heating and can form a cured product exhibiting excellent adhesion to organic resins with excellent anchorage.