A brazed plate heat exchanger with at least one stack of heat exchanger plates and at least one functional component connected by piping physically and in terms of flow to the stack, for example, a collecting tank, in which case the stack executes a settling movement during brazing. Production is achieved in that the plate heat exchanger with the functional component is produced in a vacuum brazing furnace in a single brazing process, in which at least one structure is contained in the piping that compensates for the settling movement of the plate stack. A corresponding production method is also proposed.