The mechanism of material removal in the process of polishing was discussed.The research results about jet machining system and platform were introduced.The development of mathematical model of abrasive fluid jet were described,including speed change model,material removal model,surface evolution model,surface roughness model,numerical simulation model.The effect laws of some major process parameters such as particle energy,jet pressure,abrasive,jet angle,stand-off distance,additive on machining results were analyzed,and the research progresses of abrasive jet polishing technology were summarized,and the probable further research was forecasted.