The identification and studying the molecular bases of functioning of new cytotoxic agents finds an important implication in developing drugs for fighting with tumors. While investigating the cytotoxic action of protein complex Tag7-Hsp70 which was opened in our laboratory previously we found that Tag7-Hsp70 demonstrated the same specificity in regard to different tumor target cells as it was for classical cytokine TNF-α. L-929 cells and Jurkat cells appeared to be good targets representing up to 30% of dead cells within a population and HeLa cells-bad targets representing less than 5% of dead cells after 20 h of incubation with either of the cytotoxic agents. While investigating the action of either TNF-α or Tag7-Hsp70 on L-929 cells we detected two peaks of death: after 3 h and after 20 h. For both cytotoxic agents we observed the first, smaller (13–15%), peak to be eliminated after the addition of caspase inhibitor YVAD-CHO and the second, greater (25–30%), peak to become even bigger in presence of caspase inhibitor. Probably, protein complex Tag7-Hsp70 interacts like TNF-α with a receptor on the surface of tumor cells that results in triggering two alternative mechanisms of programmed cell death: apoptosis and necroptosis.