The two-dimensional metal organic framework(2D MOF) with the ultra-thin thickness and the large transverse size and the surface area presents the low resistance and high throughput in the process of material transport in comparison with 3D MOF. The catalytic activity of catalyst with 2D MOF can be significantly improved due to its exposure to more active sites. In recent years, the two-dimensional metal organic framework has received considerable attentions because of its potential applications. In this review, two kinds of synthesis methods of 2D MOF including top-down and bottom-up, are introduced. The 2D MOF is fabricated by the role of external forces to exfoliate the block MOF in top-down method, while 2D MOF nanosheets directly synthesize through metal clusters and ligands in the bottom-up. It is found that the excellent performance of 2D MOF is related to topology network structure, and different structures exhibit different porosity and stability. Then, the application of MOF nanoplates in catalysis, sensing and gas separation are described according to its properties. Finally, the prospect of 2D MOF is given.