Water-redispersible polymer powder compositions based on homopolymers or copolymers of one or more monomers from the group consisting of vinyl esters of unbranched or branched alkylcarboxylic acids having from 1 to 15 carbon atoms, methacrylic esters and acrylic esters of alcohols having from 1 to 15 carbon atoms, vinylaromatics, olefins, dienes and vinyl halides, one or more protective colloids, if desired antiblocking agents, contain one or more compounds from the group of pozzolanas. The pozzolanic compounds preferably take the place of anti-blocking agents conventionally used.