Method for manufacturing a fabric with a rib structure, in particular a false boucle fabric, whereby weft threads are brought in successive sheds between warp threads so that a fabric is formed with pattern warp threads which run alternately below and above one or several weft threads so that they form ribs, characterised in that a backing fabric is woven out of binding warp threads and weft threads and that the pattern warp threads are alternatively interlaced in the backing fabric and along one side of the backing fabric are rib-formingly passed round at least one weft thread running outside the backing fabric.