An exhaust heat exchanger for an exhaust gas recirculation system, including a first flow path for the intake air for an internal combustion engine, a second flow path for the exhaust of an internal combustion engine, and a housing enclosing the first and second flow paths. The first and second flow paths are each divided into a plurality of flow channels in heat-conducting, metallically connected contact with each other, and the flow channels include elements promoting heat exchange between the flow channels.