Abstract: In a filter device with a filter stack (32) which is held in sealing position by two end plates (9, 2). At least one of which comprises fluid connections (3, 4, 5), and consists of round flat-filter elements (41) and alternatingly arranged, congruent, draining support elements (38), the end plate (2) comprising the fluid connections (3, 4, 5) is part of a housing (1, 2) surrounding the filter stack (32) and the peripheral approach flow of the filter stack (32) takes place via an annular housing space (11). The filter stack (32) is penetrated approximately in the direction of its diameter by a slot-like shaft (30, 30') for the fluid guidance of the retentate which shaft empties in the end plate (2) comprising the fluid connections (3, 4, 5). At least one permeate shaft (31) for removing the permeate from the plane of the filter elements (41) is arranged in the diametric end area of the stack surface. The permeate shafts (31) empty in the end plate (2) with connections (3, 4, 5).