A　thermo-mechanical　coupling　model　for　the　rough　surface　is　established.　The　model　considers　friction　contact　between　a　rigid　flat　plane　and　a　rough　surface　based　on　3D　fractal　theory　and　allows　the　analysis　of　the　effects　of　elastic-plastic　deformation　of　rough　body　and　the　interplay　among　asperities.　The　contact　pressure　distribution　for　the　static　state　beneath　different　loading　mode　and　for　the　dynamic　state　in　the　presence　of　the　frictional　heat　flux　is　found.　The　results　show　the　fluctuation　of　the　average　contact　pressure　during　the　process　of　loading　is　related　to　the　velocity　of　loading.　The　synthetical　function　of　multiple　factors　such　as　the　thermal　deformation,　the　rising　temperature,　the　interaction　between　asperities　makes　the　complicated　relationships　among　the　maximum　temperature,　the　maximum　contact　pressure　and　the　real　contact　area.　©　(2010)　Trans　Tech　Publications.