The disclosure concerns a procedure for the regeneration of a particle filter and the desulfurization of a NOx storage catalytic converter in an exhaust gas aftertreatment system of an internal combustion engine. The disclosed procedure allows for the necessary heating energy and fuel consumption required to completely or partially regenerating the particle filter to be significantly reduced. Furthermore, an increase in efficiency of the NOx storage catalytic converter results, because the process reduces the average sulfur absorption on account of a greater frequency of desulfurization phases. In so doing, the NOx emissions after the NOx storage catalytic converter can further be reduced.