A double effect absorption cold or hot water generating machine can supply hot water from a water heater even when it is used for a cooling operation. The double effect absorption cold or hot water generating machine comprises an absorber, an evaporator, a high temperature generator, a low temperature generator, a condenser, a high temperature heat exchanger, a low temperature heat exchanger, and a water heater. The machine further comprises a refrigerant path in a refrigerating cycle including a path from the high temperature generator to the evaporator through a refrigerant branch point at which refrigerant vapor is branched, a heating side of the low temperature generator, and the condenser; a refrigerant path in a hot water cycle including a path from the refrigerant branch point to the high temperature generator and the evaporator through a hot water control valve, and a path for circulating refrigerant in the evaporator; and a water cooler provided in a hot water path in which hot water is heated by the water heater, the water cooler being provided in series with the water heater.