A method of automatically cleaning the teat cups of a milking apparatus which comprises the steps of controlling a robot arm automatically to remove the teat cups from the teats of the animal to which they are applied, manipulating said robot arm automatically to interengage said teat cups with a cleaning device, and cleaning said teat cups automatically by means of said cleaning device, the aforesaid steps of removing said teat cups from the animal's teats, interengaging said teat cups with said cleaning device and cleaning said teat cups thereby being automatically accomplished in sequence without human intervention or assistance.