Abstract: A tempering device for printing presses, includes a compression refrigerating plant with a condenser and an evaporator, in which a coolant circulates in a compression refrigerating path, and a free cooling path, in which a coolant circulates. A process water path circulates a coolant for either printing rollers or a fountain solution for offset printing. A heat exchanger arrangement cools the process water path with the help of the compression refrigerating plant and/or the free cooling path. The heat exchanger arrangement includes a three-media heat exchanger, in which heat is exchanged between the process water path and the compression refrigerating plant as well as the free cooling path.