One of the most relevant parameters to assess orthodontic and prosthodontic treatments is the biomechanical behavior of periodontal ligament. Due to the challenges associated with the experimental studies to test new devices and techniques and evaluate the periodontal ligament reactions, numerical studies are an alternative and complement for in vitro and in vivo studies. Very often, the contribution of the periodontal ligament is neglected or describe using simplified models. In this study, the feasibility of simplified analysis of the periodontal ligament is evaluated using linear, bi-linear, and hyperelastic models on a central mandibular incisor, applying an orthodontic force of 1.4142 N in ANSYS 19. Although the hyperelastic model shows a realistic behavior of the periodontal ligament, this model demands more significant computational time than the other models. But in cases when the aim of the study is not to analyze the periodontal ligament, the linear model characterizes the periodontium's behavior adequately.