Abstract: Each connector of the vertebral anchoring system for spinal fixation includes: a first element having parallel housings in cylinder portion receiving respectively the corresponding linking rod and a threaded hollow cylindrical sleeve extending vertically between the housings; a second element having parallel housings in cylinder portion receiving respectively the corresponding linking rod and a bore provided between the housings to be traversed by the cylindrical sleeve of the first element; a clamping nut co-operating with a male thread of the cylindrical sleeve of the first element for fixing the second element on the first and the linking rods in the housings; and clamping elements co-operating with the cylindrical sleeve of the first element for fixing each connector on the corresponding anchoring screw.