A composition is described that includes adapalene and dispersed benzoyl peroxide to be used in a non-rinse topical application and in the form of a mousse, comprising: at least one intermediate composition; at least one gas-generating agent; at least one agent activating the gas-generating agent; adapalene or one of its salts; and benzoyl peroxide. A kit or single container is also described that can include a plurality of compartments including this composition.