In an apparatus for the fiber-sorting or fiber-selection of a fiber bundle comprising textile fibers, especially for combing, which is supplied by a supply device to a fiber-sorting device, especially a combing device, having clamping devices, which clamp the fiber bundle at a distance from its free end, for combing to remove non-clamped constituents, at least one take-off device with a sliver-forming element is present, downstream of which is a drafting system. To increase productivity and improve the combed sliver, the fiber-sorting device has at least two rotatably mounted rollers rotating rapidly without interruption, having the clamping devices and between the sliver-forming element and the drafting system the at least one fiber sliver is present in the form of a fiber structure having a width greater than its height, for example, following spreading by a web-spreader.