The invention relates to a method for desulfating a nitrogen oxide storage catalyst that contains stored nitrogen oxides and sulfur oxides and that forms part of an exhaust gas purification system of a lean-burn engine. The method provides that, to initiate desulfation, the temperature of the catalyst is increased to the point where thermal desorption of the nitrogen oxides stored in the catalyst sets in, and the onset of thermal desorption of the nitrogen oxides is used as the signal to enrich the air/fuel mixture to perform the desulfation.