Optical multi-channel transmitter and/or receiver module, in particular for high bit rate digital optical signals, (a) with a housing, which has a plurality of optical input ports and/or optical output ports and in which an electric assembly and a substantially board-shaped optoelectric module electrically connected to the electric assembly are provided, (b) wherein a plurality of electro-optical transmitter elements and/or a plurality of optoelectric receiver elements is arranged in or on the optoelectric module, (c) wherein the optoelectric module has an optical coupling area which is connected to respective first ends of a plurality of optical waveguides, and wherein the optoelectric module has a plurality of optical paths for the optical connection of a respective first end of one of the optical waveguides to an assigned electro-optical transmitter element and/or an assigned optoelectric receiver element, and (d) wherein the optoelectric module is arranged in a module plane, which runs at an angle to a longitudinal axis of the housing, (e) wherein the longitudinal axis of the housing and the module plane enclose an angle α in the range 20° ≤ α ≤ 50°, and (f) wherein the internal height (h) of the housing, at least in an axial area in which the optoelectric module is provided, in at least one plane of all planes which are perpendicular to an imaginary tilt axis of the optoelectric module, is smaller than the longitudinal extent of the cross section of the optoelectric module in that plane, characterized (g) in that the optical coupling area is provided on one of the two larger surfaces of the optoelectric module and (h) in that the first ends of the optical waveguides are connected perpendicularly to the coupling area of the optoelectric module. (a) with a housing, which has a plurality of optical input ports and/or optical output ports and in which an electric assembly and a substantially board-shaped optoelectric module electrically connected to the electric assembly are provided, (b) wherein a plurality of electro-optical transmitter elements and/or a plurality of optoelectric receiver elements is arranged in or on the optoelectric module, (c) wherein the optoelectric module has an optical coupling area which is connected to respective first ends of a plurality of optical waveguides, and wherein the optoelectric module has a plurality of optical paths for the optical connection of a respective first end of one of the optical waveguides to an assigned electro-optical transmitter element and/or an assigned optoelectric receiver element, and (d) wherein the optoelectric module is arranged in a module plane, which runs at an angle to a longitudinal axis of the housing, (e) wherein the longitudinal axis of the housing and the module plane enclose an angle α in the range 20° ≤ α ≤ 50°, and (f) wherein the internal height (h) of the housing, at least in an axial area in which the optoelectric module is provided, in at least one plane of all planes which are perpendicular to an imaginary tilt axis of the optoelectric module, is smaller than the longitudinal extent of the cross section of the optoelectric module in that plane, (g) in that the optical coupling area is provided on one of the two larger surfaces of the optoelectric module and (h) in that the first ends of the optical waveguides are connected perpendicularly to the coupling area of the optoelectric module.