The present invention relates to a cleansing composition comprising, in a physiologically acceptable aqueous medium: (a) at least a film-forming starch, (b) at least one cationic polymer, (c) at least one surfactant, (d) at least a soap. The present invention also relates to a process for cleansing the skin, which consists in applying to the said skin said composition, eventually with water, in working the said composition into a foam and then in rinsing off the said composition.