Abstract: In order, when a cigarette is being smoked, to reduce, or even reverse, the tendency of the condensate-content to increase, a cigarette filter unit is proposed in which at least one partition having at least two areas of different porosities and made of a material which allows smoke to pass through it, is arranged between each two filter elements aligned axially with one another in the flow cross section of the filter unit. In this connection, a first partition area is designed in such a manner that its permeability decreases as the portion of tobacco associated with the cigarette filter unit is smoked, the tobacco smoke, passing through the said cigarette filter unit, flowing increasingly through the second partition area.