Abstract: The invention relates to a pump system for delivering cryogenic liquids. Said pump system can be used for refuelling motor vehicles with H2 and consists of a container (1) for receiving the cryogenic liquid. At least one pump (2) is arranged in said container (1) and delivers the cryogenic liquid to a pressure housing (3) which is connected to a user, e.g. a motor vehicle, via an output line (4). The liquid level (m) in the container (1) is automatically maintained by means of a special arrangement of the liquid inlet (i) and the gas recirculating line (j) and by separating the container (1) into two chambers (h and f) which are preferably separated by the pressure housing (3). A secure operating mode of the pump system is thus obtained.