Provided is an addition-curable liquid silicone rubber composition which is suppressed in thickening over time even in cases where a silicone raw rubber is added into a liquid silicone rubber composition, thereby having excellent storage stability, and which provides a silicone rubber that has a low hardness after being cured. An addition-curable liquid silicone rubber composition which contains: (A) an alkenyl group-containing organopolysiloxane having an average polymerization degree of 1,500 or less, which is in a liquid state at room temperature; (B) an organopolysiloxane having an average polymerization degree of 2,000 or more, which is in the form of a raw rubber at room temperature; (C) an organohydrogen polysiloxane; (D) a fumed silica having a BET specific surface area of 130 m2/g or more; (E) an organosilane and/or organopolysiloxane having a silanol group; and (F) an addition reaction catalyst. This addition-curable liquid silicone rubber composition provides a low-hardness silicone rubber which has a hardness (durometer A) of 5-40 after being cured.