A method and instrument for tensioning a flexible tie used for fastening an implant on a bony element by forming a first loop around it. In some embodiments, the instrument comprises a shaft having a distal end configured for contact with a rod, a moving part slidably engaged with the shaft, a holder connected to the moving part and configured to hold an end of the flexible tie, and a tension control member comprising a trigger that pivots relative to the moving part. In some embodiments, the method comprises coupling the end of the flexible tie to the instrument and squeezing the trigger to shorten the first loop of the flexible tie around the bony element, causing the moving part and the holder holding the end of the flexible tie to move in translation away from the distal end of the shaft, thereby exerting tension on the flexible tie.