An apparatus for extracting water from ambient air is disclosed comprising an air duct for the process air, an air duct for the regeneration air and a sorption exchanger moving at least partially between the two air ducts. Additionally, in the air duct for the regeneration air, on the side facing the sorption exchanger outlet, a cooler is installed, and on the side facing its inlet, a heater is installed. The apparatus also comprises a closed refrigerant circuit. The cooler for cooling the regeneration air is a refrigerant evaporator and this cooler is, by the refrigerant piping via a compressor for the evaporated refrigerant suction and compression, connected to the regeneration air heater, where this heater for heating the regeneration air is a condenser for condensing the refrigerant vapor. The apparatus also comprises a subcooler for additional heat removal from the refrigerant.