An addition-curable liquid silicone rubber composition for LED headlamps, comprising: (A) (A-1) 100 parts by weight of organopolysiloxane containing at least two silicon-bonded alkenyl groups per molecule, having an average degree of polymerization of less than 2,000, and being liquid at 25°C, and (A-2) 10 to 100 parts by weight of organopolysiloxane containing at least two silicon-bonded alkenyl groups per molecule, having an average degree of polymerization of at least 2,000, and being gum-like at 25°C, (B) 10 to 150 parts by weight of silicone resin comprising units selected from among R 2 3 SiO 1/2 units (M units), SiO 4/2 units (Q units), R 2 2 SiO 2/2 units (D units), and R 2 SiO 3/2 units (T units), wherein R 2 is a C 1 -C 6 substituted or unsubstituted monovalent hydrocarbon group, the total of M and Q units is at least 80 mol% of the overall constituent units, and the molar ratio of M units to Q units is from 0.5 to 1.5, the silicone resin containing at least two alkenyl groups per molecule (overall constituent units), (C) organohydrogenpolysiloxane containing at least two silicon-bonded hydrogen atoms (Si-H groups) per molecule, the content of Si-H groups being up to 0.0085 mol/g, in such an amount that the number of Si-H groups in component (C) is 1 to 3 per one of total silicon-bonded alkenyl groups in components (A) and (B), (D) a catalytic amount of platinum group metal base catalyst, and (E) triallyl isocyanurate in an amount of 0.01 to less than 0.05 part by weight per 100 parts by weight of components (A), (B) and (C) combined. (A) (A-1) 100 parts by weight of organopolysiloxane containing at least two silicon-bonded alkenyl groups per molecule, having an average degree of polymerization of less than 2,000, and being liquid at 25°C, and (A-2) 10 to 100 parts by weight of organopolysiloxane containing at least two silicon-bonded alkenyl groups per molecule, having an average degree of polymerization of at least 2,000, and being gum-like at 25°C, (A-1) 100 parts by weight of organopolysiloxane containing at least two silicon-bonded alkenyl groups per molecule, having an average degree of polymerization of less than 2,000, and being liquid at 25°C, and (A-2) 10 to 100 parts by weight of organopolysiloxane containing at least two silicon-bonded alkenyl groups per molecule, having an average degree of polymerization of at least 2,000, and being gum-like at 25°C, (B) 10 to 150 parts by weight of silicone resin comprising units selected from among R 2 3 SiO 1/2 units (M units), SiO 4/2 units (Q units), R 2 2 SiO 2/2 units (D units), and R 2 SiO 3/2 units (T units), wherein R 2 is a C 1 -C 6 substituted or unsubstituted monovalent hydrocarbon group, the total of M and Q units is at least 80 mol% of the overall constituent units, and the molar ratio of M units to Q units is from 0.5 to 1.5, the silicone resin containing at least two alkenyl groups per molecule (overall constituent units), (C) organohydrogenpolysiloxane containing at least two silicon-bonded hydrogen atoms (Si-H groups) per molecule, the content of Si-H groups being up to 0.0085 mol/g, in such an amount that the number of Si-H groups in component (C) is 1 to 3 per one of total silicon-bonded alkenyl groups in components (A) and (B), (D) a catalytic amount of platinum group metal base catalyst, and (E) triallyl isocyanurate in an amount of 0.01 to less than 0.05 part by weight per 100 parts by weight of components (A), (B) and (C) combined. <EOS>