The invention relates to a cosmetic composition formulated for topical application to the skin, comprising as active agent a combination of lipochroman-6 and an extract of Longoza (Aframomum angustifolium). It also relates to the use of this combination in a cosmetic composition compatible with topical application, or for preparing such a composition, as an active agent intended for preventing or retarding the appearance of signs of skin ageing, such as the appearance of wrinkles or a decrease in the firmness and the elasticity of the skin, or for attenuating the effects thereof and/or for enhancing the radiance of the complexion of the skin, especially of the skin of the face, or for giving it back its natural radiance. It also relates to a method of cosmetic care of the skin, intended to prevent or to retard the appearance of signs of skin ageing, such as the appearance of wrinkles or a decrease in the firmness and elasticity of the skin, or to attenuate the effects thereof, comprising applying to at least one part of the skin of the body or the face a cosmetic composition comprising said combination.