A method of continuously treating a substance in the form of divided solids, includes the steps of introducing the substance into an enclosure in which there exists an ozonated atmosphere under pressure, conveying the substance in the enclosure with a continuous movement in such a manner that the substance is located continuously in the ozonated atmosphere while it is being conveyed in the enclosure, the substance being conveyed by a conveyor screw ounted to rotate inside the enclosure about a given axis, and unloading the substance from the enclosure via the outlet after a single passage of the substance through the enclosure.
