For reprocessing of jarosite-containing residues to provide usable products, the jarosite-containing residues and concentrates which contain zinc sulfide are stirred in dilute sulfuric acid, which contains 40 to 100 g/l free sulfuric acid, in an autoclave under an oxygen partial pressure of at least 1,000 kPa and at a temperature from 130.degree. to 170.degree. C., the iron contents and the zinc contents of the residue and of the concentrate which contains zinc sulfide are substantially dissolved, flashing is effected and is succeeded by a separation of solution and solids, the solution is fed to the leaching circuit of a plant for the electrolytic production of zinc with precipitation of iron as hematite, the elemental sulfur is separated from the solids and the hematite residue is supplied to a further utilization.