By applying flow rule of micro compression rigid plastic material, a three dimensional calculation model based on radial basis points interpolation RPIM of skew extension rolling process was established.The radial basis function has Delta function properties so that the essential boundary conditions can be applied directly.The polynomial functions can be accurately reproduced and has higher precision through adding polynomial functions to the radical basics function(RBF), hence it is suitable for metal plastic forming process simulation.Singularities in velocity discontinuity are eliminated using the method of node encryption in biting place,and applying searching method to search field nodes so as to eliminate or ease the impact of uneven distribution nodes.Finally,volume locking phenomenon can be eliminated by reduced integral in rotary extension process. The comparison of calculation results with results of finite element method simulation and experiment verified the feasibility and effectiveness of skew extension rolling process simulation by RPIM.