In　order　to　show　the　realistic　3D　mesh　in　geometry　image-based　3D　mesh　compression,　in　addition　to　coding　geometry　image,　normal-map　image　is　usually　required　to　code.　But　normal-map　image　are　difficult　to　compress　because　it　captures　more　details　of　the　original　mesh,　and　it　has　less　spatial　correlation　between　pixels　than　geometry　image.　This　paper　proposes　a　novel　coding　framework　to　solve　this　problem,　we　effectively　predict　the　normal-map　image　based　on　the　correlation　between　geometry　image　and　normal-map　image,　and　we　also　utilize　the　strong　correlation　among　three　components　of　normal-map　image　to　improve　the　predicting　accuracy.　In　this　framework　we　only　need　to　code　geometry　image　and　residual　image　which　generated　from　normal-map　image　and　its　prediction.　Experimental　results　show　that　comparing　with　the　method　which　coding　geometry　image　and　normal-map　image　using　JPEG2000　directly,　our　coding　framework　not　only　improves　the　coding　efficiency　of　geometry　images　and　normal-map　images,　but　also　enhances　the　realistic　effect　of　3D　mesh　significantly.　©　2012　IEEE.