Copolymerizations of ethylene with 5-vinyl-2-norbomene (VNB) were carried out with isospecific rac-1,2-ethylenebis(1-indenyl)Zr(NMe2)(2) [rac-(EBI)Zr(NMe2)(2)] and syndiospecific isopropylidene(cyclo-pentadienyl)(9-fluorenyl)ZrMe2 [iPr(Cp)-(Flu)ZrMe2] compounds combined with Al(i-Bu)(3)/[Ph3C][B(C6F5)(4)] as a cocatalyst. VNB was inserted into copolymer backbone through the endocyclic double bond regiosectively, leaving vinyl double bond. The rac-(EBI)Zr(NMe2)(2) catalyst showed a higher activity and a VNB reactivity than iPr(Cp)(Flu)ZrMe2 catalyst. The vinyl groups contained in the copolymer were converted to the epoxy group quantitatively with m-chloroperbenzoic acid, producing functionalized polyolefin.