An addition-curable liquid silicone rubber composition comprising the following components to: 100 parts by weight of an alkenyl-containing organopolysiloxane having at least two silicon-bonded alkenyl groups per molecule and an average degree of polymerization of up to 1,500, the organopolysiloxane being liquid at 25°C, an organohydrogenpolysiloxane consisting of the following components (B-1) to (B-3): (B-1) an organohydrogenpolysiloxane containing at least 6 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, (B-2) an organohydrogenpolysiloxane containing 3 to 5 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, and (B-3) an organohydrogenpolysiloxane containing 1 or 2 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, the moles of Si-H groups in the respective components relative to the total moles (total Si-H groups) of silicon-bonded hydrogen atoms (Si-H groups) in components (B-1), (B-2) and (B-3) are such that [Si-H groups in (B-1)]]/[total Si-H groups] is 50 mol% to 80 mol%, [Si-H groups in (B-2)]]/[total Si-H groups] is 5 mol% to 40 mol%, and [Si-H groups in (B-3)]]/[total Si-H groups] is 5 mol% to 40 mol%, and a ratio of the moles of total Si-H groups to the total moles of alkenyl groups in the composition (total alkenyl groups) is such that [total Si-H groups]/[total alkenyl groups] is 1/1 to 3/1, fumed silica having a BET specific surface area of at least 130 m 2 /g, in an amount of 5 to 60 parts by weight per 100 parts by weight of components and combined, and an addition reaction catalyst in an amount of 0.5 to 1,000 ppm of platinum group metal based on the total weight of components and. 100 parts by weight of an alkenyl-containing organopolysiloxane having at least two silicon-bonded alkenyl groups per molecule and an average degree of polymerization of up to 1,500, the organopolysiloxane being liquid at 25°C, an organohydrogenpolysiloxane consisting of the following components (B-1) to (B-3): (B-1) an organohydrogenpolysiloxane containing at least 6 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, (B-2) an organohydrogenpolysiloxane containing 3 to 5 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, and (B-3) an organohydrogenpolysiloxane containing 1 or 2 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, the moles of Si-H groups in the respective components relative to the total moles (total Si-H groups) of silicon-bonded hydrogen atoms (Si-H groups) in components (B-1), (B-2) and (B-3) are such that [Si-H groups in (B-1)]]/[total Si-H groups] is 50 mol% to 80 mol%, [Si-H groups in (B-2)]]/[total Si-H groups] is 5 mol% to 40 mol%, and [Si-H groups in (B-3)]]/[total Si-H groups] is 5 mol% to 40 mol%, and a ratio of the moles of total Si-H groups to the total moles of alkenyl groups in the composition (total alkenyl groups) is such that [total Si-H groups]/[total alkenyl groups] is 1/1 to 3/1, (B-1) an organohydrogenpolysiloxane containing at least 6 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, (B-2) an organohydrogenpolysiloxane containing 3 to 5 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, and (B-3) an organohydrogenpolysiloxane containing 1 or 2 silicon-bonded hydrogen atoms per molecule and free of an aromatic group, the moles of Si-H groups in the respective components relative to the total moles (total Si-H groups) of silicon-bonded hydrogen atoms (Si-H groups) in components (B-1), (B-2) and (B-3) are such that [Si-H groups in (B-1)]]/[total Si-H groups] is 50 mol% to 80 mol%, [Si-H groups in (B-2)]]/[total Si-H groups] is 5 mol% to 40 mol%, and [Si-H groups in (B-3)]]/[total Si-H groups] is 5 mol% to 40 mol%, and a ratio of the moles of total Si-H groups to the total moles of alkenyl groups in the composition (total alkenyl groups) is such that [total Si-H groups]/[total alkenyl groups] is 1/1 to 3/1, fumed silica having a BET specific surface area of at least 130 m 2 /g, in an amount of 5 to 60 parts by weight per 100 parts by weight of components and combined, and an addition reaction catalyst in an amount of 0.5 to 1,000 ppm of platinum group metal based on the total weight of components and.