In an apparatus for the fibre-sorting or fibre-selection of a fibre bundle comprising textile fibres, especially for combing, fibre is supplied by a supply device to a fibre-sorting device, especially a combing device. Clamping devices clamp the fibre bundle at a distance from its free end, and a mechanical device combs the free end to loosen and remove non-clamped constituents, for example, short fibres, neps, dust and the like. To increase productivity and obtain an improved combed sliver, downstream of the supply device there are at least two rotatably mounted rollers rotating rapidly without interruption, which are provided with the clamping devices, and measured value sensors for detecting values relating to the fibres or machine settings are connected to a control and regulation device, which is arranged to effect actions in dependence on the measured values.