Abstract: The invention relates to a spinal osteosynthesis system which is intended for the lumbar region in particular. The inventive system is of the type that comprises: at least one connecting rod consisting of one main part having an axis; at least one pedicular screw comprising a bone threading which penetrates a vertebra; and at least one connector which is used respectively to connect a pedicular screw to the connecting rod, each connector comprising first fixing means for fixing the connector to the connecting rod and second fixing means for fixing the connector to a pedicular screw. The invention is characterized in that the aforementioned connecting rod is provided with at least one secondary part having an axis and at least one turning point such that the axis is oriented at a non-zero angle ? in relation to an axis. Moreover, at least one end connector is provided at the free end of the secondary part forming one piece therewith.