A milking system for milking of a milk animal, including a milking cup for obtaining the milk, the milking cup having a teat space with a first milk outflow opening, and a measuring chamber directly and rigidly connected to the milking cup for at least temporarily containing the obtained milk. The measuring chamber is provided with a milk inflow opening which is in flow communication with the first milk outflow opening, a second milk outflow opening, a vacuum outlet, and a sensor device for measuring a property of the milk in the measuring chamber. The sensor device includes an optical sensor device having a plurality of optical sensor elements, at least one light source, and a control unit which is configured to process sensor signals into values of at least two parameters of the milk in the measuring chamber.