Abstract: A plate heat exchanger for two or more flowing media may according to the invention be designed so that the front and rear cover plates (1, 8) of the exchanger act as channel defining walls for a flowing heat exchanging medium, and so that the tube connections at the inlet and outlet ports (10-13) can be established in a common plane. This is obtained thereby that the front and rear cover plates (1, 8) together with the adjacent first (2) and last (5) channel forming plates define distribution channels (18) crossing the direction between adjacent inlet and outlet ports.