Department of Hydrocarbon Chemistry, Faculty of Engineering, Kyoto University The study on polymers having bi-functionality and structure-dependence in their catalytic action was reviewed, as the enzyme model polymer. The enzyme model polymers were itemized into four; polymers having functional groups in their side chain, metal chelated polymers, templet polymers, and polyelectrolytes. They have several types of the bi-functionality in the catalysis and of the structure-dependence in the substrate-binding and the catalysis, respectively. An extent of the catalysis with the enzyme model polymer is different from that with the enxyme, at the present time. Also, it was made a description of the peculiar field which the enzyme model polymers extended.