Abstract: A method of and apparatus for binding fiber bundles, as produced in the textile industry. Each of the two fiber bundles is mixed with the other fiber bundle in two regions of the binding and is wound around in a force-locking manner with individual fibers originating from the fiber bundles. The loose ends of the two bundles to be bound are automatically severed during the course of the formation of the binding and the remaining ends are introduced or worked into the binding using a pair of rotatable disc-shaped deformation members which are selectively movable toward one another while rotating to engage the fiber bundles.