Digital　holography　is　a　whole-field,　non-contact,　and　highly　sensitive　interferometric　imaging　and　testing　technology.　It　is　more　suitable　for　microscopic　measurement　owing　to　digitalization　and　flexibility　in　holograms　recording,　storage,　reconstruction　and　transmittance.　This　paper　analyzes　the　factors　which　lead　to　the　phase　aberrations　in　the　off-axis　lensless　Fourier　transform　digital　holography　firstly.　Then　a　method,　which　is　obtained　by　borrowing　ideas　from　T.　Colomb,　is　presented　to　correct　the　phase　aberrations　automatically　during　the　numerical　reconstruction.　This　is　implemented　by　multiplying　a　phase　mask　directly　with　the　reconstructed　wave　field.　The　phase　mask　is　obtained　by　an　iterative　procedure　computing　automatically　without　the　pre-knowledge　of　the　physical　parameters,　such　as　the　off-set　of　the　reference　point　source　and　the　recording　distance.　This　method　enables　one　to　reconstruct　the　relative　correct　and　accurate　phase-contrast　image,　even　in　the　presence　of　the　noise,　which　is　needed　to　be　smoothed　by　a　median　filter.　In　order　to　achieve　an　accurate　phase　image,　the　procedure　described　here　is　applied　iteratively,　starting　from　the　initial　values　provided　by　the　first　evaluation.　We　present　and　analyze　the　simulation　results　of　the　phase　images　based　on　a　special　three-dimensional　micro　object.　The　results　show　that　for　a　weak　noise　the　above　method　is　very　effective;　while　for　strong　noise　the　common　phase-unwrapping　method　must　be　applied.　This　indicates　that　it　is　very　important　to　record　high　quality　hologram　and　to　suppress　the　noise　in　phase　data.