PURPOSE: To obtain the present composition having good low-temperature resistance along with retaining resistance to heat oil and solvent, by incorporating a fluororubber with a specific hydrogenated block copolymer and/or modified hydrogenated block copolymer.

CONSTITUTION: The objective composition comprising (A) 50-99(pref. 70-97)wt.% of a fluororubber, pref. a vinylidene fluoride-hexafluoropropene two-component copolymer and (B) 50-1(pref. 30-3)wt.% of at least one kind of copolymer selected from hydrogenated block copolymers each produced by hydrogenation of a copolymer constituted of a polymer block consisting mainly of vinyl aro matic compound (pref. styrene) and another polymer block consisting mainly of conjugated diene compound (pref. butadiene or isoprene) and carboxylic acid (derivative)-modified products therefrom, with a number-average molecular weight of pref. 10,000-500,000.