Hydrogen peroxide desulfurization at 50A degrees C of a catalytically cracked gasoline fraction containing methyl- and dimethylthiophenes and traces of benzothiophene and dibenzothiophene and boiling in the range of IBP-70A degrees C in the presence of transition metal compounds Na2MoO4, Na2WO4, VOSO4, and [Cu(NH3)(4)]CO3 followed by adsorption on alumina has been studied. The successive oxidation of the hydrocarbon fraction in the presence of the copper and molybdenum compounds under phase transfer conditions ensures the removal of up to 96% of total sulfur.