Abstract: Disclosed is a filter press comprising a substantially cylindrical vessel, a plurality of filter elements disposed in the vessel parallel to one another, and a rotor having a rotor shaft rotatably mounted in the vessel and a plurality of rotor elements fixedly connected to the rotor shaft and extending each between two adjacent filter elements, the surface of the rotor elements being adapted to be forced towards the filter elements for mechanically compressing filter cakes accumulated thereon, wherein the axis of the vessel is disposed in an upright position, the filter elements and rotor elements being formed as cylindrical wall members disposed in concentric relationship to one another with the rotor elements extending into the spaces between adjacent filter elements and being secured to a mounting structure connected to the rotor shaft, while the filter elements are supported on a carrier grid in the vessel.