Thermoplastic molding materials containing(A) not less than 5% by weight of a polyphenylene ether and(B) not less than 5% by weight of a nylon furthermore contain(C) not less than 0.1% by weight of a copolymer composed of(C.sub.1) not less than 30% by weight of a styrene of the general formula I ##STR1## where R and R.sup.1 are alkyl of 1 to 8 carbon atoms, hydrogen and/or halogen and n is 0, 1, 2 or 3,(C.sub.2) not less than 0.5% by weight of an epoxide-containing polymerizable monomer and/or(C.sub.3) not less than 0.05% by weight of a halobenzyl-containing polymerizable monomer possessing a structural unit (II) ##STR2## where X is halogen, R.sup.2 and R.sup.3 are each alkyl of 1 to 8 carbon atoms or hydrogen and n is 1, 2 or 3, and/or(C.sub.4) not less than 0.05% by weight of a polymerizable monomer containing oxazoline groups and(C.sub.5) from 0 to 20% by weight of acrylonitrile, methacrylonitrile and/or other nonionic comonomers, and(D) from 0 to 35% by weight of a toughened rubber, and possess particularly good impact strength.