Based　on　Hertz　elastic　contact　theory,　the　contact　mechanics　model　of　two　cosine　wave　is　established.　The　mechanical　characteristics　of　the　model　in　the　elastic,　elastic-plastic,　and　plastic　stages　were　studied.　The　influence　of　load　on　contact　deformation　and　other　characteristics　is　considered.　The　finite　element　method　is　used　to　analyze　the　deformation　process　of　the　model,　and　the　results　are　compared　with　those　of　the　mechanical　model.　The　effects　of　amplitude　and　wavelength　of　cosine　wave　on　its　mechanical　characteristics　are　discussed.　The　results　show　that　the　model　reflects　the　relationship　between　the　load　and　the　mechanical　characteristics　of　the　model,　and　the　difference　of　amplitude　and　wavelength　will　affect　this　characteristic.