Immune response to allogenic tumor cells is associated with the appearance of long-living CD8+ memory cells capable of rapid restimulation and lysis of tumor cells in case of repeated injection of these cells. In order to acquire the effector function, allorestricted memory cells need antigen restimulation for 2 days, which is a specific feature of central memory cell population. These cells can suppress proliferation of naive splenocytes in vitro. In mixed lymphocyte cultures containing memory cells, antigen stimulation induces more intensive IL-10 production and deeper suppression of IL-2 production in comparison with cultures containing naive cells. The conditions for activation of naive cells during secondary immune response are not optimal.