Based　on　Hertz　contact　theory,　an　elastic-plastic　contact　mechanics　model　of　outer　cylinder　under　different　contact　angles　of　axis　is　proposed.　The　relationship　among　contact　angle,　load　and　contact　deformation,　contact　stiffness　and　contact　area　is　established.　The　finite　element　method　is　used　to　simulate　the　elastic-plastic　contact　process　of　the　cylinder.　The　influence　of　the　load　and　radius　of　the　cylinder　model　on　the　contact　deformation　and　the　contact　stiffness　is　compared　and　analyzed　under　different　contact　angles.　The　error　of　the　analysis　results　of　the　finite　element　and　the　mechanical　model　is　within　9%.　On　this　basis,　the　influence　of　contact　deformation,　contact　area　and　contact　angle　on　the　contact　stiffness　of　the　outer　cylinder　in　elastic　and　plastic　stage　is　explored.　The　results　show　that　in　the　stage　of　elastic　and　plastic　deformation,　the　amount　of　contact　deformation　and　contact　area　increase　with　the　increase　of　load.　The　contact　stiffness　decreases　with　the　increase　of　contact　angle　and　increases　with　the　increase　of　cylinder　radius.　The　amount　of　contact　deformation　decreases　with　the　increase　of　cylinder　radius,　and　tends　to　constant　gradually.　In　the　elastic　stage,　the　contact　stiffness　increases　with　the　increase　of　load.　The　contact　area　decreases　with　the　increase　of　contact　angle　and　increases　with　the　increase　of　cylinder　radius.　In　the　plastic　stage,　the　contact　stiffness　is　constant　with　the　increase　of　load,　and　the　contact　area　is　independent　of　contact　angle　and　cylinder　radius.