The curved alveolar bone distractor includes an elongate curved and threaded traction rod supported on opposite ends by anchor brackets. The anchor brackets fix the traction rod onto bony foundation of a patient's jaw. Endcaps cap opposing ends of the traction rod to prevent dislodging and define the extent of working length of the traction rod. A traction bracket freely slides along the traction rod, and the traction bracket is fixed to a movable bony segment. A translator nut is threaded onto the traction rod to abut against a side of the traction bracket. Selective rotation of the translator nut pushes the traction bracket to move the movable bony segment a predetermined distraction distance. When assembled and installed, the working components of the curved distractor are exposed in the oral cavity to the facial side for easy access. Tools are provided to operate the translator nut.