Sorption isotherms was obtained in the form sulfate complex of cerium on the anion exchanger D-403 at a temperature of 298 K and pH = 2รท4 in the presence of various concentrations of magnesium sulfate. Thermodynamic description of the sorption isotherm sulfate complexes of cerium by the method, which based on linearization of the equations of the law of mass action modifed for the reaction of ion exchange. The values of the apparent constants of ion exchange and differential Gibbs energy calculated for the ions of Ce(SO 4 )-2 .