The relative affinity of diphosphoglycerate and ATP for hemoglobin dimers and tetramers can be measured under conditions where the protein is in large molar excess over the polyphosphate. Binding of both compounds to dimers was about 25 times stronger than to tetramers in the case of the three low-spin hemoglobins, oxyhemoglobin, carboxyhemoglobin and cyanomethemoglobin. The mutation in hemoglobin Kansas leads to an increased dissociation into alpha beta dimers. The increase in diphosphoglycerate binding by this hemoglobin was in good agreement with that expected from the dimer-tetramer dissociation constant over a wide range of hemoglobin concentrations. In contrast to the liganded hemoglobins, both deoxyhemoglobin and aquomethemoglobin bind the two polyanions as tetramers.