A method of milking an animal comprises determining the identity of the animal and discharging the milk obtained by milking the identified animal to a storage container. The identity of the animal is determined after connecting a teat cup to a teat of the animal or after confining the animal in a milking place and before discharging the milk to the storage container. An installation for milking an animal is provided with a determination device for determining the identity of the animal, a transport arrangement for transporting milk to a storage container for storing the milk and with a control unit for controlling the determination device and the transport arrangements. The control unit is programmed for additionally determining the identity of the animal after connecting a teat cup to a teat of the animal or after confining the animal in a milking place and before discharging the milk to the storage container.