A method of inhibiting proliferation of transferrin-receptor-positive cells expressing the transferrin receptor on their surfaces in a human, which method comprises administering to said human an effective dose of a combination containing a first and a second monoclonal antibody, which dose is effective to halt proliferation of said cells, wherein each of said antibodies is an anti-human-transferrin-receptor monoclonal antibody which binds to an epitope of the external domain of the human transferrin receptor glycoprotein and which first and second monoclonal antibodies simultaneously bind the transferrin receptor, said first and second antibodies being such that a comparison of in vitro screening of the CCRF-CEM leukemic cell line with said first and second monoclonal antibodies individually and in vitro screening thereof with said combination of said first and second monoclonal antibodies shows that said combination inhibits cell proliferation to a greater extent than either of said antibodies individually and also inhibits cell proliferation by at least about 80%, and wherein said dose of said combination of antibodies inhibits in vivo cell proliferation of cells expressing the transferrin receptor on their surfaces selected from the group consisting of human hematopoietic tumor cells and human melanoma cells by binding the transferrin receptor and thereby blocking transferrin receptor function.