A system and method for the minimally invasive insertion of an intervertebral rod into the vertebrae of a subject, according to a preoperative surgical plan also defining positions for the insertion of rod clamping screws into the vertebrae. The rod shape for connecting the heads of the screws is calculated, and a path planning algorithm used to determine whether the distal end of the rod can be threaded through the screw heads by longitudinal and rotational manipulation of the proximal end of the rod. If so, instructions are provided for forming that rod shape and for the robotic insertion of the screw holes and the rod. If not, either or both of the screw positions and the rod shape are adjusted, to moderate the bends in the rods, until insertion becomes possible. The insertion can be performed robotically, or, if a navigation tracking system is added, manually.
