As　a　high-resolution,　non-destructive　internal　structure　three-dimensional　imaging　technology,　digital　holographic　microscopy　tomography　can　provide　advanced　and　safe　detection　technologies　and　research　tools　for　the　development　of　high-tech　such　as　life　sciences,　clinical　medicine,　and　new　materials.　In　order　to　reduce　the　reconstruction　time　and　improve　the　quality　of　reconstruction,　the　compressive　sensing　theory　is　applied　to　holographic　imaging.　Compressive　holography　technology　can　not　only　achieve　the　tomographic　reconstruction　of　objects　from　a　small　amount　of　holographic　data,　but　also　solve　the　problem　of　crosstalk　between　the　layer　and　the　layer　and　the　elimination　of　noise　in　the　tomographic　reconstruction　process,　and　the　effect　is　particularly　obvious.　In　this　paper,　the　dynamic　compressive　sensing　theory　is　applied　to　the　field　of　three-dimensional　digital　holographic　microscopy,　which　is　different　from　the　fixed　sampling　method　used　in　the　general　compressive　holographic　imaging.　It　achieved　fast　3D　digital　holography　and　improved　axial　resolution.　We　obtained　holographic　tomography　images　at　a　sampling　rate　of　6.25%,　doubling　the　axial　resolution　witho　ut　loss　of　reproduction　image　resolution.