In an apparatus for the fiber-sorting or fiber-selection of a fiber bundle comprising textile fibers, especially for combing, clamping devices are provided which clamp the fiber bundle at a distance from its free end, and a mechanical arrangement is present which generates a combing action from the clamping site to the free end, in order to loosen and remove non-clamped constituents. To enable productivity to be substantially increased in a simple manner and an improved combed sliver to be obtained, downstream of the supply device there are arranged at least two rotatably mounted rollers, clamping devices being distributed spaced apart in the region of at least one said roller's periphery, and the arrangement for generating a combing action is inside the roller.