The invention relates to a solid cosmetic composition, in the form of a loose or compact powder, comprising:(a) from 50% to 99% by weight of at least one particulate solid phase,(b) from 0.5% to 50% by weight of at least one non-volatile liquid phase, and(c) from 0.01% to 4% by weight of at least one block copolymer obtained from a first monomer of 2-acrylamidomethylpropanesulphonic acid and from a vinyl second monomer having a nitrogenous cyclic side chain.The invention also relates to a process for manufacturing such a composition, which comprises:(i) mixing the particulate solid phase, the non-volatile liquid phase, the block copolymer and water so as to obtain a slurry,(ii) suctioning off the water present in the slurry so as to obtain a dry powder.