Based on the three-dimensional fractal contact theory,a fractal model of tangential contact damping of cylindrical surfaces considering friction and asperity interaction was established by introducing the surface contact coefficient.The model is simulated by MATLAB and the simulation results show that the tangential damping increa-ses with the increase of normal load,fractal dimension,ratio of tangential to normal load,material characteristic pa-rameter and radius of curvature,and decreases with the increase of fractal roughness parameter and friction coeffi-cient.The tangential contact damping formed by the internal contact of two cylinders is larger than that of the exter-nal contact.In addition,by comparing the built model with the case of only considering the friction,it is found that the asperity interaction will increase the tangential contact damping.This study provides a theoretical basis for the dynamic analysis of high-pair contact surfaces.