Surface　roughness　is　crucial　guideline　to　the　surface　quantity　of　work　piece.　This　paper　demonstrates　a　simple　approach　for　measurement　of　surface　roughness　by　using　digital　holography　imaging　method　based　on　reflection　off-axis　lensless　Fourier　transform　(LFT)　holography.　The　surface　profiles　of　the　standard　roughness　sample　plates　which　have　the　different　arithmetic　average　height　values　are　used　as　the　measurement　sample.　Comparing　the　arithmetical　average　height　values　of　the　roughness　sample　plates　obtained　from　the　experiment　with　the　given　parameters,　the　results　are　in　good　agreement.　It　has　shown　that　the　method　is　reasonable　and　efficient.