Double-hit (DH) lymphoma, an extremely aggressive variant of B-cell lymphoma, is accompanied by chromosomal abnormalities leading to the activation of a few oncogenes, one of which is the c-MYC gene in conjunction with BCL2 or BCL6 gene rearrangements. There are most common cases of MYC/8q24 and BCL2/18q21 gene rearrangements (MYC/BCL-2 DH lymphoma). The tumor is characterized by an aggressive clinical course and a poor response to chemotherapy (CT). The median survival in patients with DH lymphomas varies from 4.5 to 18 months. Such patients are generally resistant to CHOP-21 and R-CHOP-21 therapy regimens. For the treatment of patients with DH lymphoma, the Hematology Research Center, Ministry of Health of the Russian Federation, chose an original BL-M-04 polychemotherapy (PCT) protocol in combination with rituximab, followed by autologous stem cell transplantation (allo-SCT). The paper describes the experience in successfully treating a patient with two hematologic tumors: 1) MYC/BCL-2 DH lymphoma with high-dose PCT cycles, followed by allo-SCT, and 2) a metachronously developed second tumor (acute myelomonoblastic leukemia (AMML)) with CT cycles, followed by allogeneic bone marrow transplantation. The incidence of tumors induced by the previous high-dose CT for aggressive lymphomas for 10 years is 0.7 to 10%. As a rule, the development of secondary AMML is preceded by a history of myelodysplastic syndrome (MDS); characteristic chromosomal abnormalities (deletions of the long arm of chromosomes 5 and 7) are detectable. In this case, the follow-up was 3 months before the development of AMML, during this period the patient was not found to have laboratory signs of MDS (anemia, thrombocytopenia) or chromosomal abnormalities associated with secondary MDS/AML. The presence of a leukemic stem cell is associated with the occurrence and development of hemoblastosis; that of the similar cell populations that may cause B-cell lymphomas remains uncertain. The described case may have defect in a hematopoietic stem cell that gives rise to both germs of hematopoiesis, as well as complete donor chimerism of bone marrow hematopoiesis, which gives hope to long-term remission in both DH lymphoma and AMML.