The present invention describes the use of trifunctional bispecific antibodies for the preparation of a pharmaceutical composition for the prophylaxis and treatment of tumor diseases. It has been found that said trifunctional bispecific antibodies are binding to tumor-associated antigens selected from Her2/neu, CD20, EpCAM, G250, proteoglycans, GD3, GD2, MHC II, EGF-R and CEA, wherein said tumor-associated antigens are expressed on said tumor cell with a low to medium expression level only.