The object of the present invention is to provide a process for producing an ethylene-.alpha.-olefin-polyene copolymer by continuous multistage polymerization which can give an ethylene-.alpha.-olefin-polyene copolymer excellent in a form retention property during extrusion. The process for producing an ethylene-.alpha.-olefin-polyene copolymer comprises continuously polymerizing ethylene, .alpha.-olefin, and the following polyene (A) and polyene (B) in a solvent in the presence of an olefin polymerization catalyst using a polymerization reaction apparatus comprising two tanks of polymerization reactors connected in series, wherein the polymerization is carried out under specific conditions: polyene (A): at least one polyene selected from norbornadienes and vinylnorbornenes, polyene (B): polyene other than the polyene (A).

 
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