The invention relates to a continuous steam generator comprising a surrounding wall which forms a gas draught and whose lower section is configured from gas-tight evaporator tubes that are welded together and whose upper section is configured from gas-tight superheater tubes that are welded together. According to the invention, superheater tubes are connected downstream of the evaporator tubes on the flow medium side by means of a water separator system. The aim of the invention is to provide a system with particularly high degree of operational flexibility even in the start-up and off-peak periods, while keeping the production and installation expenditure relatively low. To achieve this, the water separator system comprises a large number of water separator elements, each of which is connected downstream or upstream of less than ten evaporator tubes, preferably one tube and/or less than ten superheater tubes, preferably one tube on the flow medium side.