Objective To study the tribological property of textured surface with fractal characteristics under full film lubrication conditions by numerical simulation method. Methods The model of surface texture with fractal characteristics was built by SolidWorks. The effect of depth, scale and sliding velocity on friction coefficient and load-carrying capacity were analyzed in detail by computational fluid dynamics Fluent. And then the results of fractal textures and regular array textures were compared. Results The results showed that the coefficient of friction was reduced slightly as the depth increased, but reduced significantly with the scale of texture unit. The pressure coefficient of surface was proportional to the scale and sliding velocity and inversely proportional to the depth of texture. The friction coefficient of fractal texture and regular array texture were nearly coincident for the same area ratio, but the load-carrying capacity of fractal texture was superior to that of regular array texture. Conclusion The fractal texture arranged on the surface of material can improve the tribological properties of friction pair and provide a novel idea to design anti-friction textured surface.