A silicone rubber composition comprises (a) an organopolysiloxane having alkenyl radicals, (b) a heat conductive filler, (c) an organohydrogenpolysiloxane, (d) a platinum group metal compound, (e) a reaction regulator, and (f) a silicone resin. A heat conductive cured product is prepared by intimately mixing components (a) to (f), applying the composition as a thin film to a substrate which has been treated to be releasable, and curing the composition.