Metal organic frameworks(MOFs) nanofibrous membranes (NFMs) based on electrospinning technology integrate the advantages of inorganic porous materials and polymer nanofibers, enabling them a class of functional materials with broad application prospects. MOFs NFMs with different functions are explored continuously and their application fields are expanding. In this work, we briefly introduce the development of MOFs NFMs, which has experienced a gradual transformation from preparation research to application research. Then, the main methods on preparing MOFs NFMs, including mixed electrospinning, in situ growth, multistep seeded growth, and atomic layer deposition, are described in detail. The main application and of current MOFs NFMs, such as adsorption and separation, heterogeneous catalysis, sensing detection are expounded. And, we put forward the future prospect of the development directions and trends of MOFs NFMs.