An addition curable liquid silicone rubber composition for injection molding is provided. The composition comprises (A) an organopolysiloxane containing at least two Si-bonded alkenyl groups within each molecule, (B) an organohydrogenpolysiloxane containing at least two Si-bonded hydrogen atoms within each molecule, (C) a fumed silica with a BET specific surface area of 50 m2/g or greater, and (D) an addition reaction catalyst, and exhibiting fluidity such that, at 23° C., the viscosity at a shear velocity of 0.9 s−1 is not higher than 1,000 Pa·s, and the ratio between the viscosity at a shear velocity of 100 s−1 and the viscosity at a shear velocity of 200 s−1 is not higher than 3.5. The composition is resistant to decreases in viscosity of the rubber material under high shear velocity, and generates no burrs on the molded product.