A procedure is introduced to operate a diesel engine, which has a catalytic converter with three-way conversion characteristics. The procedure is characterized thereby, in that if the engine rotational speed increases without in the process exceeding an engine rotational speed threshold value and the engine's load is greater than a load threshold value, the diesel engine is operated in such a manner that the diesel engine alternately generates an oxidizing and a reductive exhaust gas atmosphere before the catalytic converter. Additionally a control unit is introduced, which controls the sequence of the procedure.