The cable insulation stripping machine is adapted for mounting to a machine with a motor having a reversible rotating chuck and is operable to remove the outer insulating jacket from a multi-conductor cable. The cable insulation stripping machine has a stripping spindle rotated by the chuck. At one end of the stripping spindle is a stripping and take up spool. The spool contains a self-adjusting slot, which grips a flap cut into the outer jacket at the end of a multi-conductor cable. As the spindle is rotated, the pinching action of the spool slot removes the insulation from the cable and the stripped insulation winds onto the body of the spool. A pair of cable guides is provided, the first guide for support incoming cable on and feeding the cable to the stripping and take up spool, the second guide for receiving the stripped conductors as they exit the machine.