Abstract: The invention refers to a selective metal leaching process from the materials that contain them, in which said metals come into contact with a solution comprising said process two or more in this order, of the following leaching steps: (a), (b) or (c) in the following order: (a) Treatment of the material with an aqueous solution in the presence of oxygen; (b) Treatment of the remaining material with an aqueous solution in the presence of oxygen and ozone; (c) Treatment of the remaining material with an aqueous solution in the presence of oxygen, ozone and a third reagent. And optionally a step of separation of phases is carried out after every one of the previously steps (a), (b) or (c). Said process is used for the recovery of metals from scrap, ores, concentrates and mixtures of these.