The exact analytical formulas of contact surface’s normal total load, maximum static friction force and static friction coefficient were deduced from the anisotropic fractal geometric theory. The mathematical model of contact surface’s nonlinear static friction was set up adopting the medial independent variable named contact ratio. The calculable results of numerical simulation show that the static friction coefficient micro upwards protrusively increases with the increasing of normal total load or material property parameter, but it micro upwards protrusively adds when the fractal roughness decreases. When the fractal dimension becomes lower, the static friction coefficient increases as the fractal dimension increases; whereas, the fractal dimension becomes higher, the static friction coefficient reduces as the fractal dimension ascends. The maximum static friction force is approximately proportional to the normal total load on an absolute scale coordinate system.