A process for making an addition homo- or copolymer of a multi-ringed monoolefinically unsaturated cycloolefin monomer selected from the group consisting of bicyclo[2.2.1.]hept-2-ene ("norbornene"), dicyclopentadiene, 5,8-dimethano-1,2,3,4,4a,5,8,8a-dimethanooctahydronaphthalene, (tetracyclododecene "TD", or, DMON) and substituted embodiments thereof wherein said substituents, if present, are selected from the group consisting of (C.sub.1 -C.sub.20)alkyl, (C.sub.1 -C.sub.20)haloalkyl, (C.sub.5 -C.sub.12)cycloalkyl, (C.sub.1 -C.sub.6)alkylidenyl, aryl, haloaryl, (C.sub.7 -C.sub.15)aralkyl, (C.sub.7 -C.sub.15)haloaralkyl, (C.sub.3 -C.sub.20)alkenylyl, and (C.sub.4 -C.sub.20)alkylene with the proviso that the double bond is not a terminal double bond, said process comprising,
- (a) reacting said monomer in a liquid phase in the presence of a solvent for said monomer and an effective amount of a pre-formed single component organoGroup VIII metal complex catalyst, and a predetermined minor molar amount relative to the moles of said multi-ringed monomer, of an olefinic chain transfer agent selected from the group consisting of ethylene and a compound having a single olefinic non-styrenic double bond between adjacent carbon atoms together having at least 3 hydrogen atoms, said chain transfer agent being present in an amount sufficient to provide said homo- or co-polymer in a desired molecular weight in the range from 20,000 to 500,000;
- (b) maintaining said reaction in the absence of an alkylaluminoxane, for a period sufficient to convert at least 50% w/w (by weight, based on the total weight of monomers charged) of said monomer to polymer;
- and,
- (c) recovering said polymer in solid melt-processable form.