An apparatus for filling containers with a liquid and, in particular, with a beverage, with a plurality of filling elements which in each case have an outlet in order to pour the beverage into the containers, as well as a valve device in order to control the supply of the liquid into the containers, with a conveying device which conveys the containers along a pre-set conveying path at least for a time during the filling thereof with the liquid, and with a cleaning device which acts with a cleaning medium upon at least one region contacted by the liquid to be filled. At least one filling element is designed in such a way that the cleaning medium is freely discharged out of this filling element during a cleaning operation.