The advent of new technologies has made it possible to identify genetic predispositions to myelodysplastic syndromes (MDS) and acute leukemias (AL) more frequently. The most frequent and best characterized at present are mutations in CEBPA, RUNX1, GATA2, ETV6 and DDX41 and, either in the presence of one of these mutations with a high allelic frequency, or in the case of a personal or family history suggestive of blood abnormalities such as non-immune thrombocytopenia, it is recommended to look for the possibility of a hereditary hematological malignancy (HHM). Indeed, early recognition of these HHMs allows better adaptation of the management of patients and their relatives, as allogeneic hematopoietic stem cell transplantation (HSCT) is very often proposed for these pathologies. According to current data, with the exception of the GATA2 mutation, the constitutional or somatic nature of the mutations does not seem to influence the prognosis of hematological diseases. Therefore, the indication for an allograft will be determined according to the usual criteria. However, when searching for a family donor, it is important to ensure that there is no hereditary disease in the donor. In order to guarantee the possibility of performing the HSC allograft within a short period of time, it may be necessary to initiate a parallel procedure to find an unrelated donor. Given the limited information on the modalities of HSC transplantation in this setting, it is important to assess the benefit/risk of the disease and the procedure to decide on the type of conditioning (myeloablative or reduced intensity). In view of the limited experience with the risk of secondary cancers in the medium and long-term, it may be appropriate to recommend reduced intensity conditioning, as in the case of better characterized syndromic hematological diseases such as Fanconi anemia or telomere diseases. In summary, it seems important to evoke HHM more frequently, particularly in the presence of a family history, certain mutations or persistent blood abnormalities, in order to discuss the specific modalities of HSC allografting, particularly with regard to the search for a donor and the evaluation of certain modalities of the procedure, such as conditioning. It should be noted that the discovery of HHM, especially if the indication of an allogeneic HSC transplant is retained, will raise ethical and psychological considerations not only for the patient, but also for his family. A multidisciplinary approach involving molecular biologists, geneticists, hematologists and psychologists is essential.