Abstract: Irradiated nuclear fuels consisting primarily of plutonium compounds and/or uranium compounds such as oxides, carbides, nitrides are converted in accordance with the method to plutonium hexafluoride and/or uranium hexafluoride. In a first step, the compounds are contacted within a first zone of an enclosure with a gas mixture containing at least one fluorination reagent. In a second step, the remainder of the compounds which have not been converted to fluorides during the first step is contacted directly within a second zone of the enclosure with a bed which has been fluidized by means of a gas mixture containing at least one fluorination reagent.