The present investigation is devoted to explore the static stresses developed on gear tooth material at low speed and high torque for two different materials; C45 steel and high density polyethylene (HDPC). Subsequently a 3D spur gear pair is modeled in CATIA work bench and the stresses developed were analyzed using finite element analysis using ANSYS workbench 14.5. The results of bending stress distribution, modal displacement and modal frequencies for the first four modes were finally compared for both cases of the metallic and the HDPE made gear pairs.