The invention relates to a device for cleaning and/or disinfecting a teat of an animal immediately prior to or subsequent to the milking operation. The device comprises a teat receiving cup having a plurality of spray nozzles disposed on its upper side which are connected to receive cleansing fluid or disinfectant or both under pressure and capacity control to spray the animal's teats. The spray nozzles and supply lines thereto are affixed to the teat receiving cup so that the nozzles are pointed obliquely upwardly towards the center line of the teat receiving cup. The supply lines, including a distribution member for dividing fluid being conducted to the spray nozzles, is connected to the teat receiving cup by means of an elastic stocking or a shrink stocking.