The present invention is based on the unexpected finding that, in addition to catalase, SOD is also involved in protecting tumor cells, wherein the inhibition effects of the two protective enzymes support one another in a complementary manner. The invention thus relates to pharmaceutical compositions containing at least two antibodies or the biologically active fragments thereof, wherein the one antibody is directed against the catalase and the other antibody is directed against the superoxide dismutase, as well as their use for treating a tumor disease.