A desalination system (1) for producing a distillate from a feed liquid includes: a steam raising device (2) having a liquid section (5) and a steam section (6) which are separated by a membrane system (7); a membrane distillation device (3) having a first steam section (11) and a liquid section (12) which are separated by a wall (14) and having a second steam section (13) which is separated from the liquid section (12) by a membrane system (15); and a heat exchange device (4) having a first liquid section (21) and a second liquid section (22), which are separated by a wall (23).