A tangential filtration device, particularly for fluid food products, comprising: - a tangential filter arranged essentially vertically and provided with a plurality of filtering membranes having a longitudinal extension and arranged essentially vertically, said tangential filter being also provided with at least one inlet for the product to be filtered, with at least one outlet of the retentate and with at least one outlet of the permeate, said at least one inlet for the product to be filtered being provided for at the lower portion of said tangential filter so that the filtering membranes are longitudinally crossed, from the bottom upwards, by the product to be processed; - a pump for sending the product to be filtered to a chamber communicating with the inlet of said tangential filter; - a cleaning apparatus comprising a rotating element provided with at least one member (52, 53) integral in rotation with said rotating element and acting on and/or at the inlet openings of the lower ends of said filtering membranes, said rotating element being also provided with at least one nozzle communicating fluidically with said chamber and/or with said inlet to send a jet of product to be filtered on and/or at the inlet openings of the lower ends of said filtering membranes; and - at least one area (79, 74) for the collection of the residues which are removed from the inlet openings of the lower ends of said filtering membranes by said cleaning apparatus and/or by the jet originating from said at least one nozzle, said at least one collection area (79, 74) being provided inside said chamber and/or inside said tangential filter and being below with respect to said at least one member (52, 53) and to said nozzle. - a tangential filter arranged essentially vertically and provided with a plurality of filtering membranes having a longitudinal extension and arranged essentially vertically, said tangential filter being also provided with at least one inlet for the product to be filtered, with at least one outlet of the retentate and with at least one outlet of the permeate, said at least one inlet for the product to be filtered being provided for at the lower portion of said tangential filter so that the filtering membranes are longitudinally crossed, from the bottom upwards, by the product to be processed; - a pump for sending the product to be filtered to a chamber communicating with the inlet of said tangential filter; - a cleaning apparatus comprising a rotating element provided with at least one member (52, 53) integral in rotation with said rotating element and acting on and/or at the inlet openings of the lower ends of said filtering membranes, said rotating element being also provided with at least one nozzle communicating fluidically with said chamber and/or with said inlet to send a jet of product to be filtered on and/or at the inlet openings of the lower ends of said filtering membranes; and - at least one area (79, 74) for the collection of the residues which are removed from the inlet openings of the lower ends of said filtering membranes by said cleaning apparatus and/or by the jet originating from said at least one nozzle, said at least one collection area (79, 74) being provided inside said chamber and/or inside said tangential filter and being below with respect to said at least one member (52, 53) and to said nozzle.