The invention relates to a method for filtering a cloudy beverage, in particular a cloudy wine, from at least one tank, in which a deposit has formed, by means of a filtering system, preferably having the following steps: a) the cloudy beverage is clarified and drained in a first filtration circuit (11) comprising the filtration modules (6) having channels (9) of smaller diameter, and b) the remaining unfiltrate from step a) and/or the deposit of the cloudy beverage is/are clarified and drained in a second filtration circuit (12) comprising the filtering modules (7) having channels (9) of larger diameter.