A cyclic olefin having a specific polar group is polymerized by addition polymerization
in a hydrocarbon solvent, using a polymerization catalyst component containing
(i) a specific transition metal compound, (ii) a Lewis acid compound and (iii)
an alkyl aluminoxane, or the cyclic olefin is polymerized by addition polymerization
in the hydrocarbon solvent, using the polymerization catalyst component, by further
adding at least one aromatic vinyl compound and at least one cyclic nonconjugated
polyene compound, or either one of them as a molecular weight modifier, thereby
obtaining a cyclic olefinic addition polymer.
