Evaporative cooling tower circulating cooling water that is brought in direct contact with the drawn-in surrounding air is cooled. A process' warm cooling water is spread out thinly over a contact body, which preferably has a large exchange surface. The air is led equally over this film of water.The cooling water is cooled by evaporation of a small amount (1-2%) of the circulating water. Per kg evaporated cooling water 2491 kJ is extracted from the circulating cooling water. The unsaturated air flow absorbs the evaporated water and the heat belonging to it.