An aqueous composition used for cosmetics, characterized in that the composition comprises 0.5 to 50 wt %, based on weight of the composition, of a copolymer having main chains comprising the repeating units represented by the following formula (1), the repeating units represented by the following formula (2), and the repeating units represented by the following formula (3), said main chains being crosslinked by a compound or oligomer having 2 to 6 (meth)acryl groups wherein R1 is a hydrogen atom or a hydrocarbon group having 1 to 3 carbon atoms, R2 is a hydrocarbon group having 1 to 24 carbon atoms, R3 is a divalent hydrocarbon group having 1 to 4 carbon atoms, R4 is an aliphatic hydrocarbon group having 1 to 6 carbon atoms or a phenyl group, X is a hydrogen atom, an alkaline metal ion, ammonium ion, or an organic ammonium ion, m is an integer of from 0 to 500 on average, and n is an integer of from 1 to 3.