An apparatus is provided for the internal fixation of the spine. The apparatus comprises two sets of implants each consisting of a rod and a plurality of vertebral anchors. A set of implants is positioned on the spine on either side of the spinous process spanning the portion of spine to be immobilized. The rod is secured to the vertebral laminae by the vertebral anchors. The anchor includes a transpedicular screw member which is secured to a vertebrae. A rod support includes a cup which captures the screw and optionally permits micromotion between the rod support and screw. The rod support also includes a rod-receiving channel which captures the rod. A clamp is provided to secure the rod in the channel.