Cross-linkable nitrile rubber composition and cross-linked rubber product

Provided is a cross-linkable nitrile rubber composition which contains (A) a highly saturated nitrile rubber with a Mooney viscosity (ML 1+4 , 100°C) of 50 or less and an iodine value of 120 or less, (B) an unsaturated carboxylic acid metal salt, and (C) an organic peroxide cross-linking agent. This cross-linkable nitrile rubber composition is capable of yielding a cross-linked rubber product with excellent scorch stability and with excellent normal-state physical properties and flexural fatigue resistance.