The process of association-dissociation of hemoglobin molecules into dimers of its subunits in water-saline solutions is studied by the method of gel-penetrating chromatography and ultrafiltration. The quantitative assessment of stabilization of quaternary structure of hemoglobin in chemically bound polymer derivative in comparison with native peptide on the basis of building differential concentration curves is conducted for the first time. By the method of atomic-force spectroscopy, the morphology of nanoparticles of hemoglobin and its modified polymeric derivative is studied.