Abstract: Transverse flux permanent magnet linear machine(TFPMLM) benefits from the structure of transverse flux, realizing the decoupling of the electric load and the magnetic load, so that the force density can be further improved. It has the advantages of high force density and good control characteristics. It has broad application prospects in low-speed and high thrust fields such as transportation, ship propulsion and electromagnetic launcher. Firstly, the current research and development of TFPMLM at home and abroad were described in this paper. It was classified and summarized according to the shape structure, working principle and permanent magnet placement position, based on the structural characteristics and working principle of TFPMLM. The evolution of various topological structures and improvement methods were mainly analyzed. Secondly, the performance indexes of different types of TFPMLM were quantitatively compared and analyzed, and the key common problems such as its parameters and characteristics, analysis design and optimization control were discussed and summarized. Finally, the application prospect and development trend of this kind of machine were summarized and prospected.