Allogeneic hematopoietic stem cell transplantation (allo-HSCT) is the only curative therapy for hematopoietic malignancies. The graft-derived donor lymphocytes are capable of eliminating the residual recipient malignant cells in the course of allogeneic immune response, thus decreasing the chances of a relapse of the disease. Foreign peptides of the recipient presented by the MHC molecules are able to elicit the immune response immunologically. These polymorphic peptides are known as minor histocompatibility antigens (MiHAs). MiHAs occur due to the nonsynonymous single nucleotide polymorphisms in human genome. Transfusion of T cells specific to MiHAs presented predominantly in the cells of hematopoietic origin will allow the targeted elimination of residual malignant clones avoiding undesirable damage to healthy tissues. To induce the immune response, the donor must be homozygous by the MiHA allele and the recipient must either be homozygous or heterozygous by the alternative MiHA allele. The therapeutic mismatch occurs in 25% of cases under the optimal frequency of allelic variants. Minor antigen ACC-1Y originates from polymorphism in the BCL-2A1 gene; its immunogenic mismatch occurrence approaches the theoretical maximum. In addition, BCL2A1 is overexpressed in cells of various lymphomas. ACC-1Y is presented on allele HLA-A*24:02, which is relatively frequent in the Russian population. Combination of these factors makes the minor antigen ACC-1Y a promising target for immunotherapy. Transfusion of donor CD8^(+) lymphocytes modified with transgenic MiHA-specific TCR is one of the promising methods of posttransplant leukemia therapy and relapse prophylaxis. We obtained a sequence of high-affinity ACC-1Y-specific TCR after the antigen-specific expansion of T cells derived from a healthy ACC-IY^(-/-) donor. We cloned this sequence into the lentiviral vector and obtained the assembled viral particles. Further, we transduced the CD8^(+) lymphocyte culture and demonstrated its antigen-specific cytotoxic activity. It is suggested that CD8^(+) lymphocytes modified by the described method could be potentially transferred to recipients as a therapy against relapse after allo-HSCT.