A curable silicone rubber composition comprising (A) organopolysiloxane comprising at least 2 silicon atom-bonded alkenyl groups in each molecule described by formula R.sub.a SiO.sub.(4-a)/2, where R represents a substituted or unsubstituted monovalent hydrocarbon group and a is a number from 1.95 to 2.05; (B) fine powdery silica; (C) a reaction mixture of (a) a platinum compound and (b) a compound containing an alkynyl group and an alcoholic hydroxy group in each molecule; and (D) a curing agent. The present invention is also a manufacturing method of curable silicone rubber composition. The curable silicone rubber compositions have an excellent flame-retarding property and good tracking resistance and other electrical properties.