What is proposed is a process for preparing aminopolycarboxylates proceeding from the corresponding polyalkanolamines by oxidative dehydrogenation in the presence of a catalyst comprising 1 to 90% by weight of copper, based on the total weight of the catalyst, using a base, which comprises first performing a partial conversion of the polyalkanolamine to a reaction mixture comprising the aminopolycarboxylate at a temperature in the range from 140 to 180° C. until at least 10 to 90 mol % of the polyalkanolamine has been depleted, and then continuing the conversion at elevated temperature.