An apparatus (1) for preparing hot drinks, such as coffee, tea or milk, with a steam generator (13) and a steam delivery line (14) is described, which apparatus is of simple construction, is easy to service and has a relatively low power requirement. For this purpose, the steam generator (13) contains a steam chamber (19) with a heatable heat accumulator (17), which steam chamber (19) is connected to the steam delivery line (14), and an injection device (24) for injecting water into the steam chamber (19), the injection device (24) having a flat jet nozzle (25) arranged at a distance from the steam chamber (19) and a rebound surface (33) arranged in the steam chamber (19). <IMAGE>