NOVELTY - A crosslinkable rubber composition comprises ethylene- alpha -olefin-nonconjugated-polyene copolymer (A) having structural unit derived from ethylene, 3-20C alpha -olefin and nonconjugated polyene (I) or (II), hydrosilyl group-containing compound (B) having at least 2 portions of hydrosilyl group in a molecule and nonpolar hydrocarbon-type oil (C). The content of component (A), component (B) and component (C) is 100 parts weight, 0.1-100 parts weight and 10-1000 parts weight, respectively.    USE - Crosslinkable rubber composition is used for rubber molded product (claimed) used as base material for sealing electrical/electronic component, semiconductor chip, resistor, capacitor and used as protection material for electrode. Uses include but are not limited to motor vehicle, shoes, rubber glove, golf ball, gasket for fuel cell, sealing material of solar cell, stress absorber, rubber hose, lithium-battery gasket, adhesive material etc.    ADVANTAGE - The crosslinkable rubber composition has excellent heat resistance, contamination resistance, moldability and dimensional stability, and provides molded product having excellent workability and cold resistance.    DETAILED DESCRIPTION - A crosslinkable rubber composition comprises ethylene- alpha -olefin-nonconjugated-polyene copolymer (A) having structural unit derived from ethylene, 3-20C alpha -olefin and nonconjugated polyene of formula (I) or (II), hydrosilyl group-containing compound (B) having at least 2 portions of hydrosilyl group in a molecule, and nonpolar hydrocarbon-type oil (C). The content of component (A), component (B) and component (C) is 100 parts weight, 0.1-100 parts weight and 10-1000 parts weight, respectively. The molar ratio of ethylene unit and alpha -olefin unit in component (A) is 35/65-95/5. The component (A) has iodine number (HA) of 0.5-50 g/100 g and intrinsic viscosity ( eta ) of 0.01-5 dl/g, measured at 135 degrees C using decalin solution. The viscosity of components (A-C) after mixing is 0.01-10000 Pa.second at 25 degrees C.    R1,R3=H or 1-10C alkyl;    R2=H or 1-5C alkyl;and    n=0-10.    An INDEPENDENT CLAIM is included for crosslinked rubber molded product, which is obtained by crosslinking the crosslinkable rubber composition.