A composition containing an aqueous phase dispersed in an oily phase, at least one emulsifier with an HLB value ranging from 1 to 8, at least one organic powder, and, in the oily phase at least one semicrystalline polymer with organic structure that is solid at room temperature and that has a melting point of less than 70.degree. C., the said polymer comprising a) a polymer skeleton and b) at least one crystallizable organic side chain and/or at least one crystallizable organic sequence forming part of the said polymer skeleton, the polymer having a number-average molecular weight of greater than 2,000. This composition can especially constitute a cosmetic cream, having a very pleasant texture when applied to the skin, or a stick, especially a makeup-removing stick.