This manuscript reviewed the state of the art about the teaching and training of human resources for genetics and genomics in Brazil. We presented the national scenario of teaching genetics in medical undergraduate and other health courses. We discussed the training of medical geneticists through medical residency and addressed the training in genetics of physicians from specialties other than genetics. We examined the training of health professionals specializing in genetics through lato sensu and stricto sensu postgraduate programs and presented the proposals for multi-professional residency in genetic counseling and genetics and genomics that are currently the subject of discussion in the country. Finally, we highlighted the importance of training primary health care professionals concerning genetics and genomics for the effective establishment of a line of care for individuals with genetic disorders in the Brazilian Unified Health System. Therefore, we provided a thorough overview of how genetics is (or is not) incorporated into professional training in a comprehensive public healthcare system such as the Brazilian.