Polyvinyl-alcohol-stabilized redispersible powders which have plasticizing properties are obtained by drying polyvinyl-alcohol-stabilized aqueous dispersions of polymers of one or more monomers from the group of vinyl esters of optionally branched C.sub.1-18 alkylcarboxylic acids, (meth)acrylic esters of optionally branched C.sub.1-15 alcohols, dienes, olefins, vinylaromatics and vinylhalides, in the presence of a copolymer formed from a) one or more monomers from the group of ethylenically unsaturated monocarboxylic acids, ethylenically unsaturated dicarboxylic acids and their anhydrides, each having 4 to 8 carbon atoms, and salts thereof, b) one or more ethylenically unsaturated compounds containing sulfonic, sulfuric, and/or phosphonic acid groups, and salts thereof, and c) one or more monomers from the group consisting of vinyl esters of optionally branched C.sub.1-18 alkylcarboxylic acids and (meth)acrylic esters of optionally branched C.sub.1-15 alcohols.