A multi-fluid heat transfer device having a plate stack construction is disclosed which includes several plates which are stacked above one another and are provided with openings, through which several thermally interacting fluids can be guided. A construction is provided which consists of at least one first and at least one second flow duct plate unit which are arranged in the plate stack in an alternating manner, as well as of an intermediate connection cover plate unit, the first flow duct plate unit having one group and the second flow duct plate unit having two separate groups of respective side-by-side flow duct openings. Furthermore, connection duct openings for forming one distributor duct pair and collector duct pair respectively for each group of flow duct openings are placed in all plate units. As a result, a compactly constructed heat transfer device of a high heat transfer output is implemented by means of low manufacturing expenditures. The heat transfer device is usable as a high-temperature battery cooling element for an electric vehicle.