A milking device for milking dairy cattle contains at least one teat cup which is connected to a milk-collecting container by a hose. In order to simplify the production of the milking device, at least one surface coming in contact with the milk or one component of the teat cup and/or of the milk-collecting container is made of an alloy that contains at least 50% Cu and, as a further alloying constituent, at least 2% Zn or at least 2% Sn.
