The present invention relates to cosmetic compositions used in the care and make-up field. This composition mainly comprising a continuous aqueous phase, a fatty phase and a fine and porous pulverulent copolyamide powder phase, is in the form of creamy, liquid or gelled compositions. This is in particular an emulsion, but it may also be a two-phase formulation or composition in which the fatty phase and aqueous phase are separate. The invention more particularly relates to cosmetic care and/or make-up compositions having a continuous aqueous phase in the case of an oil-in-water emulsion.