This study investigates the stress at gear by modelling differential gear and using FEM. When gear is driven under power, high equivalent stress of 1596.2MPa is occurred at the stationary shaft. Maximum equivalent stress of 1596.2MPa is also occurred at the bottom and root of tooth and its fatigue life becomes 12.4 as the shortest cycle. As much as it becomes away from the center of gear, the maximum deformation becomes occurred. As exact power is delivered with the precise design of gear, the loss of power energy can be decreased.