A method for cleaning a cross-flow filter (20), comprising the steps of: A) providing a cross-flow filter (20), wherein the cross-flow filter (20) comprises a filter membrane (21) and is configured to remove a liquid permeate stream and the filter membrane (21) comprises a first side facing the permeate stream and a second side opposite the first side, the second side facing the feed stream, and wherein at least some of the deposits (1010) to be removed are located on the second side of the filter membrane (21); B) applying a back-flushing liquid stream through the filter membrane (21). Prior to applying the back-flushing liquid stream in Step B), permeate located on the first side of the filter membrane (21) is at least partially displaced from the first side of the filter membrane (21) by a gas, wherein the gas that is in contact with the back-flushing liquid stream has a pressure of >1 bar at least during Step B). The applying of the back-flushing liquid stream in Step B) occurs in such a way that the pressure pulses.