Fretting wear is a major form of fretting damage involving various factors, such as material properties, surface roughness, surface topography, lubrication conditions, environment temperature, type of loading, and loading phase difference. In this study, ABAQUS is used to establish three models to simulate the variation of wear depth with the amplitude of additional load. The influence of the phase difference between additional load and original load is considered. Four phase difference angles are involved, i.e. 0°, 90°, 180°, and 270°. Results indicate that the rule of the variation of wear depth with the additional load amplitude increasing varies under different phase differences. It is observed that for the 0° phase difference, the wear depth firstly decreases then increases with the increase of the additional load. However, the wear depth increases monotonously in the case of the 180° phase difference. The variation of wear depth with additional load amplitude for 90° phase difference is similar to that of the 270° phase difference. The depth of wear is firstly kept at a relatively low level and then increases sharply, with the increase of the additional load. It is found that the distribution of shear stress and relative slip at the contact interface is also affected by the phase difference.