Abstract: To establish a more complete and accurate model of tangential contact stiffness of joint surface, the fractal prediction model considering friction factors for tangential contact stiffness of joint surface was established from microcosmic angle. This model was based on fractal theory and principles of tribology. The influences of contact load, fractal dimension, friction coefficient, contact area and other factors on tangential contact stiffness of joint surface were studied by the way of numerical simulation analysis. The results show that tangential contact stiffness of joint surface increased with the increase of normal load and fractal dimension. It decreased as a result of the increase of fractal scale parameters. Friction coefficient had a greater impact on tangential contact stiffness of joint surface. Tangential stiffness had larger difference under different real contact area. The effect of friction coefficient on tangential contact stiffness of joint surface decreased when the fractal dimension was small. These researches were of great significance to the further study on the dynamic performance of the joint surface.