A fiber array for receiving a plurality of light-guiding fibers has a substrate with V grooves for guiding light-guiding fibers. These are fixed inside the V grooves by covers. In order to achieve a better utilization of space, the light-guiding fibers are disposed in two planes. To this end, first fibers in V grooves are fixed on the surface of the substrate in one plane. Second fibers are fixed by V grooves in recesses between the first fibers in a second parallel plane. Here a processing of the substrate may be done without changing clamping or re-clamping of the substrate. Particularly small production tolerances can be achieved by this means.