Herein is disclosed a vulcanizable rubber composition comprising a copolymer rubber constituted of ethylene, propylene and nonconjugated polyene, wherein ethylene/propylene molar ratio is 78/22 to 97/3 and the total content of propylene and nonconjugated polyene is 6 to 30% by mole in said copolymer rubber. By the use of the rubber composition of the present invention, a vulcanized product excellent in tensile strength, heat resistance, oil resistance, compression set resistance and flex behavior can be obtained. The vulcanized product can be used as automobile parts and other innumerable articles such as socket cover, heat resistant hose, electric wire, condenser cap, heat resistant belt, vibration-proof rubber, hoses weather strip, seal sponge, black side wall of tire, etc.