A crosslinkable fluororubber composition comprising (A) a polymer comprising a perfluoro compound having at least two alkenyl groups and a divalent perfluoroalkylene or perfluoropolyether structure and a compound having at least two hydrosilyl groups, the hydrosilyl-bearing compound being added to some of the alkenyl groups in the perfluoro compound, (B) a reinforcing filler, and (C) a crosslinking agent having a hydrosilyl group and capable of addition reaction or a peroxide crosslinking agent is roll millable and compression moldable. It cures into products having satisfactory solvent resistance, chemical resistance, heat resistance, and low-temperature properties.