Objective: This research aimed to study the optimum orthodontic force system in the canine’s translation by applying different magnitudes of M/F and force to study the canine’s displacement and periodontal ligament (PDL) stress. Methods: A mathematical model of mandibular anterior teeth and their periodontium tissue was developed. Orthodontic force systems without a moment and with various M/F were applied to the canine for its translation. An optimum force system was validated by carrying out a finite element analysis and applying a force system with a derived optimum M/F in each case. Results: The PDL stress increased with an increase in force magnitude in all cases. It first decreased with an increase in the M/F before the M/F reached the optimum value, and then increased with an increase in the M/F. The canine’s initial displacement was inclined, and it was most close to translation when the precise optimum M/F was applied. Conclusion: Canine’s movement requires an appropriate force to prevent root absorption, whereas the translation movement requires an optimal M/F value that must be within the physiological range. Knowing the influence of force and moment on tooth translation can help to apply more reasonable orthodontic force system and design more reasonable orthodontic device.