The non-metallocene late transition metal catalysts have shown potential application on the coordination copolymerization of olefin with polar monomer due to their good ability of resistance to hetero-atoms. This paper mainly reviewed the advances in studies on catalysts for the coordination copolymerization of ethylene and propylene with Methyl Acrylate or Methyl Methacrylate by Fe、Co、Ni、Pd、Cu non-metallocene late transition metal catalysts. We focuse on the effect of the structure of non-metallocene late transition metal catalysts in which Fe

Co

Ni

Pd as the center metal on the coordination copolymerization activity of ethylene and propylene with Methyl Acrylate or Methyl Methacrylate and the molecular weight of the copolymer

and emphasize that the design of new ligands was an important way to exploit new non-metallocene late transition metal catalysts.