Ti6Al4V has gradually attracted attention in aerospace, biomedical and other fields due to its excellent properties such as high hardness, high strength, good phase and corrosion resistance. However, its high hardness and strength make the traditional machining effect not ideal. Electrical discharge machining (EDM) is a special kind of machining because it relies on inter-electrode pulse discharge to remove the material. It is a kind of non-contact material removal method, so it is not subject to the limitations of the material's physical properties, and it is very suitable for the machining of Ti6Al4V. There are many researchers who have made many innovations and improvements to the EDM of Ti6Al4V. However, there are few systematic summaries of these works. At present, for Ti6Al4V EDM, improvements are mainly the replacement of dielectric, additional means of assistance, and electrode structure process improvement. The improvement indexes of these methods for EDM are mainly reflected in Material Removal Rate (MRR), Material Relative Wear Removal (REWR), Sufarce quality and hardness. This paper mainly discusses the various improvements and results made for Ti6Al4V in EDM, reviews the current situation, and discusses possible future research directions for Ti6Al4V, providing feasible research ideas.