A system for tensioning straps applied to dorsal orthopedic supports used to support and restrain the vertebral column, said orthoses consisting of a semirigid bar (10) wherein the lower part is coupled to a lower strap (12) which is fixed anteriorly to an abdominal plate (13) that encircles the waist, and the middle part is coupled to intermediate straps (14) that terminate at loops (15) positioned at the sides of the body, there also being additional vertical straps (16) that start from the abdominal plate (13), pass through the loops (15) and terminate above the shoulder where the ends are fixed to loops (17), whereby said loops (17) fitted to the ends of the upper straps (16) are coupled to respective cables (26) which can be tensioned by a mobile slide (21) in a sliding housing (22) by means of tie rods (18) coupled to the orthosis (10) and activated by the patient by means of relative handles (24) positioned at their lower end.