Method of cleaning of a milk system with dispensing device, which system is associated with a beverage maker, including a control unit and a cleaning module. The method includes the following steps: replacing a milk container of the milk system with the cleaning module, including at least two zones, cleaning fluid being filled in a first zone and in a second zone, and a cleaning agent being filled in a chamber； connecting the first zone and the second zone with docking units of the milk system for suctioning cleaning fluid, conveying the cleaning fluid through the milk system and at least partial recirculation of the cleaning fluid in the cleaning module； rinsing of the milk system with cleaning fluid, cleaning fluid being conveyed through the milk system out of the first zone and/or out of the second zone of the cleaning module and being led out； rinsing of the circuit of the milk system, cleaning fluid being extracted from the second zone, being heated by a heating device and being led back into the chamber, whereby it reaches the second zone via a fluid-conductive connection； terminating the circuit rinsing, cleaning fluid being led out and a valve device of the second zone being closed when the filling level of cleaning fluid in the second zone drops below a predetermined level； and final rinsing of the milk system with cleaning fluid from the first zone. Furthermore a device for carrying out the method is described.
