A silicone rubber composition that does not foam or evolve an unpleasant odor during its cure and that cures into low-surface-tack, non-yellowing silicone rubber moldings comprises:(A) polydiorganosiloxane gum with the average component formula R.sub.a SiO.sub.(4-a)/2 where R represents substituted and unsubstituted monovalent hydrocarbon groups and a is from 1.9 to 2.1,(B) microparticulate silica,(C) bis(ortho-methylbenzoyl)peroxide, and(D) bis(para-methylbenzoyl)peroxide,wherein the component (C) to component (D) weight ratio is from 1:9 to 8:2.