Human African trypanosomiasis (HAT), also called sleeping sickness, is a parasitic infection that almost invariably progresses to death, unless treatment is provided. HAT caused devastating epidemics during the 20th century. Thanks to sustained and coordinated efforts during the past 15 years the number of reported cases has fallen to a historic low. Fewer than 3,000 cases were reported in 2015, and the disease is targeted for elimination by the World Health Organization. Despite recent success, HAT still poses a heavy burden on the rural communities where this highly focal disease occurs, most notably in Central Africa. Since patients are also reported from non-endemic countries outside Africa, HAT should be considered in differential diagnosis for all travellers, tourists, migrants and expatriates who have visited or lived in endemic areas. In the absence of a vaccine, disease control relies on case detection and treatment, and vector control. Available drugs are sub-optimal, but ongoing clinical trials give hope for safer and simpler treatments.