the present invention relates to a polymer - supported rhodium catalyst and its application , which includes addition reaction to carbon - carbon multiple bond in α - diazocarbonyl compounds , insertion reaction to c — h and x — h bonds , or rearrangement and additional cyclization reaction thereof a novel insoluble polymer - supported rhodium complex was prepared through a ligand exchange reaction between an insoluble polymer and a rhodium carboxylato complex , wherein the insoluble polymer was prepared by a copolymerization reaction of a styrene derivative with substituted carboxylic acid , a stylene , and a linear alkane with both ends substituted by vinylbenzyloxy groups , namely , a polymer - supported metal complex catalyst having the following chemical formula 1 : wherein m 1 and m 2 are rhodium , and the like ; and x is an oxygen atom , etc ; and r 4 is an alkyl group , and the like ; and k is 1 to 15 %, m is 1 to 5 % relative to k + l + m , and l is the remainder ; and n is 4 and others ; and r 1 is alkyl - 2 -, etc , r 2 is phenyl , etc ; r 3 is 4 , 4 ′- phenyl , etc .