This review summarizes recent progress in synthetic methodologies of chelating polymer ligands such as linear, branched, crossālinked, grafted polymers, polymer films, liquid crystal polymers, dendrimers, starāshaped and hyperbranched polymers. The features of methods for producing chelating polymer ligands are considered in detail: freeāradical (co)polymerization, living/controlled radical, metathesis, grafted, chemical oxidized, microwaveāassisted and asymmetric polymerization, electropolymerization, cyclopolymerization, polycondensation, postāpolymerization modification, click chemistry methods and āgreenā 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.