A cosmetic skin lightening product delivered from a dual-chamber package is provided wherein separate first and second compositions are filled into the respective compartments. Both compositions contain stearic acid and a skin lightening agent, except that the first composition contains a higher amount of stearic acid than the second composition. Preferably, the second composition will have a higher viscosity than that of the first. A more effective skin lightening is achieved by the sequential application to an effected area of these physically different compositions.