Cosmetic compositions comprising, in a cosmetically acceptable medium, at least one aqueous emulsion of at least one silicone copolymer with a dynamic viscosity ranging from 1.times.10.sup.6 to 100.times.10.sup.6 cP and at least one associative thickener. This combination can give cosmetic properties, such as at least one of smoothness, lightness, and softness, without the phenomenon of regreasing keratin fibers. These compositions can be used for washing and/or conditioning a keratin material, such as the hair or the skin.