A crystalline olefin base resin composition having a high elastic modulus, a high heat resistance and excellent scratch resistance, and that is useful as a material for car parts and the like is provided. The crystalline olefin base resin composition described above comprises 99 to 40% by weight of the following component (A) and 1 to 60% by weight of the following component (B): (A) a crystalline olefin base resin, and (B) a polymer obtained by vinylene polymerization of cyclic olefin and having a weight-average molecular weight of not less than 1,000 and less than 10,000 and a glass transition point of from 140 to 400.degree. C.