Abstract: An adsorption cooler operating in accordance with the periodical adsorption principle and consisting of at least one adsorption container filled with zeolite. At least one condenser with a collecting container for the water which desorbs from the zeolite and an insulated cooling container which may be closed by a shut-off member are serially connected with the adsorption container. In the cooling container, the adsorption cooler generates ice in stages which acts as a cold buffer. The system is usable for example in solar cooling systems, vehicle air conditioning units and air conditioning insulation as well as beverage coolers.