There is provided a silicone rubber composition that has improved moldability, in particular, extrusion moldability, while ensuring that a cured product obtained therefrom has sufficient strength. The silicone rubber composition contains: (A) a 100 part by mass base polymer consisting of (A1) a polyorganosiloxane diol whose viscosity at 25° C. is 1 to 100 Pas and (A2) a polyorganosiloxane whose viscosity at 25° C. is 0.2 to 40000 Pas, with a ratio of (A1) being 20 to 100% by mass to the whole (A), the base polymer having a viscosity of 5 to 20000 Pas at 25° C. and having an alkenyl group content of 0.001 to 0.3 mmol/g; (B) a 10 to 50 part by mass silica powder whose specific surface area is 50 to 400 m2/g; (C) a 1 to 10 part by mass organosilazane; and (D) a catalytic amount of a curing agent.