A novel fluorocopolymer is produced by conducting free-radical copolymerization of 60-80 mole % of ethylene with 40-20 mole % of hexafluoropropylene in the presence of 0.1-15 mole % of tetrafluoroethylene as a comonomer under the polymerization pressure of 10-40 kgf/cm2. A fluoroelastomer is produced by vulcanizing the above copolymer. The copolymerization can be conducted under mild conditions and the fluoroelastomer is excellent in amine resistance.