Abstract: By analyzing the turbulent impinging jets of fluid jet polishing, the article established two physical models for the fluid jet polishing: vertical and oblique impinging jets models. Researched the characteristics of fluid jet polishing, found that the RNG k-e model is more suited for the polishing model compared with kinds of fluid models, because it can calculate the model with badly crooked streamlines accurately. Discrete model with finite volume method was gotten and the equations of fluid model with the second order upwind scheme were discretized. Then, the vertical and the oblique impinging jets models were simulated using SIMPLEC algorithm, and the continuous fluid field and the discrete phase grain field of fluid jet polishing model were derived, and the distributions of pressure