Abstract: A fractal model of thermal contact conductance of rough surfaces considering friction coefficient and asperity interaction was established based on the three-dimensional fractal theory, and the elastic deformation, elastic-plastic deformation and full plastic deformation of the asperity were considered. The effects of friction coefficient, fractal dimension, fractal roughness and contact load on thermal contact conductance were analyzed using the proposed model. The results indicated that the thermal contact conductance decreased with the increase of friction coefficient and fractal roughness, and increased with the increase of fractal dimension and contact load. This study provided some theoretical basis for heat transfer between contact surfaces.