New functional copolymers consisting of ethene and 4-vinylcyclohexene (4-VCH) were synthesized by a stereorigid metallocene / methylalumoxane catalyst. The content of 4-VCH depends on the polymerization temperature, thus influencing the polymeric properties. Investigations of the microstructure were made using C-13 NMR spectroscopy, thus revealing that 4-VCH is inserted regioselectively into the growing polymer chain. Hydroboration of selected copolymers followed by an oxidative workup yielded polyalcohols which display different polymeric properties than the precursor.