A process for producing a hydrogenated product of a polymer prepared through
ring-opening
polymerization which comprises a polymerization step of polymerizing a cyclic olefin
through ring-opening polymerization in the presence of a polymerization catalyst
comprising an organoruthenium compound or an organoosmium compound to prepare a
polymer, and a hydrogenation step of adding a hydrogenation catalyst and hydrogen
into a polymerization system resulting from the polymerization step to hydrogenate
the carbon-carbon double bonds of the polymer prepared through the ring-opening
polymerization. When the organoruthenium compound- or organoosmium compound-containing
catalyst further comprises a carbene compound, the catalyst exhibits a higher activity
for the ring-opening polymerization.