A filter membrane module, including: a plurality of individual elongated filter elements (6a-6e), which each have a plurality of longitudinal conduits (6.1), a tubular housing surrounding the filter elements (6a-6e), the filter elements (6a-6e) being potted in both of their end regions with a plastic, characterised in that the plastic forms after hardening a mounting ring surrounding the plurality of filter elements (6a-6e), either the housing being slipped over the mounting ring and sealingly joined to it or being unitary with one of the two mounting rings by being manufactured in a single potting operation, the filter elements being formed as flat membranes (6a-6e), between which interstices are provided, the plastic of the mounting ring in both end regions also being provided in the interstices, the wall surfaces of the longitudinal conduits (6.1) are coated with a filtration material such that the medium to be filtrated can be conducted through the longitudinal conduits (6.1) and the filtered medium can be discharged through the interstices and a collecting space which is formed by means of the mounting ring (3.1) between housing and the flat membranes (6a-6e), the filter membrane module having a plurality of flat membranes (6a-6e), the plurality of flat membranes (6a-6e) having two outer flat membranes (6a, 6e) and at least three inner flat membranes (6b, 6c, 6d) arranged between the outer flat membranes, the outer flat membranes (6a, 6e) having the shape of circle segments and being delimited by an arc and a chord and the inner flat membranes (6b, 6c, 6d) each being delimited by two arcs and two chords, the flat membranes being arranged in mirror image to one another, the height h of all the flat membranes (6a-6e) being identical, and the outer contours of the flat membranes (6a-6e) being adapted as a whole for use in the tubular housing. a plurality of individual elongated filter elements (6a-6e), which each have a plurality of longitudinal conduits (6.1), a tubular housing surrounding the filter elements (6a-6e), the filter elements (6a-6e) being potted in both of their end regions with a plastic, characterised in that the plastic forms after hardening a mounting ring surrounding the plurality of filter elements (6a-6e), either the housing being slipped over the mounting ring and sealingly joined to it or being unitary with one of the two mounting rings by being manufactured in a single potting operation, the filter elements being formed as flat membranes (6a-6e), between which interstices are provided, the plastic of the mounting ring in both end regions also being provided in the interstices, the wall surfaces of the longitudinal conduits (6.1) are coated with a filtration material such that the medium to be filtrated can be conducted through the longitudinal conduits (6.1) and the filtered medium can be discharged through the interstices and a collecting space which is formed by means of the mounting ring (3.1) between housing and the flat membranes (6a-6e), the filter membrane module having a plurality of flat membranes (6a-6e), the plurality of flat membranes (6a-6e) having two outer flat membranes (6a, 6e) and at least three inner flat membranes (6b, 6c, 6d) arranged between the outer flat membranes, the outer flat membranes (6a, 6e) having the shape of circle segments and being delimited by an arc and a chord and the inner flat membranes (6b, 6c, 6d) each being delimited by two arcs and two chords, the flat membranes being arranged in mirror image to one another, the height h of all the flat membranes (6a-6e) being identical, and the outer contours of the flat membranes (6a-6e) being adapted as a whole for use in the tubular housing.