Abstract: A coiled tubing injector for inserting and withdrawing a continuous length of tubing from a well, the coiled tubing injector having a tubing insertion and withdrawal assembly with a tubing conveyor assembly moving the tubing upward for withdrawal from the well and downward for insertion into the well. The tubing conveyor assembly has a fixed conveyor and an opposing floating conveyor each with a plurality of gripper blocks that engage the tubing. Each gripper block has a groove having a radius of curvature substantially that of the tubing to provide a close mating relationship of the gripper blocks and the tubing. The floating conveyor is moveable away from the fixed conveyor to create a gap therebetween, and the frame is provided an opening aligned with the gap between the fixed and floating conveyors so that a medial portion of the tubing can pass through the opening into the gap.