A device is provided for separating and tensioning warp threads in a face-to-face weaving machine of the type used for weaving at least a first fabric and a second fabric that are linked to each other, the first fabric including at least a plurality of first binding warp threads and first tension warp threads and the second fabric including at least a plurality of second binding warp threads and second tension warp threads. The device comprises a first set of rollers for separating the first binding warp threads from the first tension warp threads, a second set of rollers for causing the separated first binding warp threads to cross each other between the rollers in the second set, a third set of rollers, structurally similar to the first set, for separating the second binding warp threads from the second tension warp threads, and a fourth set of rollers, structurally similar to the second set, for causing the separated second binding warp threads to cross each other between the rollers in the fourth set. The first binding warp threads in the first fabric attain substantially the same tension as the second binding warp threads in the second fabric.