A milking system comprises an automatic robotic milking device having a control unit, and is configured to milk a dairy animal fully automatically to form a milking. The system comprises also a milk treatment device connected to the milking device for receiving and treating the milked milk of the milking. The milking device comprises an animal identification device which is operatively connected to the control unit for identifying the dairy animal and comprising an animal database with information about at least the composition of the milk from the dairy animal, and/or a milk sensor device which is operatively connected to the control unit for collecting information about the composition of the milked milk. The milk treatment device is connected to the control unit for receiving said information and comprises a standardization device which is configured to standardize a fat content and/or a protein content of the milk of the milking. The milk treatment device controls the standardization device on the basis of the information associated with that milking. Thus, the standardization device is able to function very efficiently, but at relatively large volumes.
