This review summarizes recent progress in synthetic methodologies of chelating polymer ligands such as linear, branched, cross‐linked, grafted polymers, polymer films, liquid crystal polymers, dendrimers, star‐shaped and hyperbranched polymers. The features of methods for producing chelating polymer ligands are considered in detail: free‐radical (co)polymerization, living/controlled radical, metathesis, grafted, chemical oxidized, microwave‐assisted and asymmetric polymerization, electropolymerization, cyclopolymerization, polycondensation, post‐polymerization modification, click chemistry methods and “green” synthesis. The main directions of the development of synthetic chemistry of chelating polymeric ligands are analyzed. The bibliography includes works published in the last five years.