To provide a fluorinated elastic copolymer and a fluorinated elastic copolymer composition, whereby it is possible to obtain a crosslinked rubber article which has practically sufficient rubber physical properties and which is, at the same time, excellent in low-temperature characteristics; a crosslinked rubber article; and a method for producing a fluorinated elastic copolymer. The fluorinated elastic copolymer comprises units based on tetrafluoroethylene, units based on CF2═CFORf1 (Rf1 is a C1-10 perfluoroalkyl group), units based on CF2═CF(OCF2CF2)n—(OCF2)m—ORf2 (Rf2 is a C1-4 perfluoroalkyl group, n is an integer of from 0 to 3, m is an integer of from 0 to 4, and n+m is an integer of from 1 to 7), and units based on a fluorinated monomer having at least two polymerizable unsaturated bonds.