Abrasive jet technology is widely used with the advantages of environmental protection, with better energy concentration and processing quality, free from any tool passivation, heat affected zone, spark, or any changing in physical or chemical properties of workpiece. Due to the fact that jet characteristics are the main reasons which influence processing quality, numerical analysis is used as the major method of researching currently. The existing research of jet characteristics of abrasive jet by numerical simulation methods is discussed in the paper, including jet fluidizing and mixing process simulation, jet formation process simulation and jet erosion workpiece simulation. Finally the key problems of the simulation on the jet characteristic are given.