A fluorine-containing elastomer having a copolymer composition, which comprises (a) 50-85 mol. % of vinylidene fluoride, (b) 0-25 mol. % of tetrafluoroethylene, (c) 7-20 mol. % of perfluoro(methyl vinyl ether), (d) 2.5-15 mol. % of CF2═CFO[CF2CF(CF3)O]nCF3 (n: 2-6), (e) 0.1-2 mol. % of CF2═CFO[CF2CF(CF3)O]mCF2CF3 (m: 2-6), and (f) 0.1-2 mol. % of RfX (Rf: an unsaturated fluorohydrocarbon group having 2-8 carbon atoms, which can contain at least one ether bond, X: bromine or iodine), can provide a fluorine-containing elastomer composition, which comprises 100 parts by weight of the fluorine-containing elastomer, 0.1-10 parts by weight of an organic peroxide, 0.1-10 parts by weight of a polyfunctional unsaturated compound, and at least 2 parts by weight of an acid acceptor. The composition can give vulcanizates having a distinguished elongation at break at high temperatures such as 100° C., and distinguished compression set characteristics at low temperatures such as 0° C.