Abstract:In order to solve the NURBS curve interpolation problems of Taylor first, secondorder expansion of coordinator point, such as large amount of calculation, interpolation time long and so on,a NURBS interpolation algorithm was proposed based on NewtonRapson iteration method.The method could be used to reduce the amount of calculation and interpolation time, improving the precision of interpolation, and improve the efficiency of curve machining. Simulationexperimental results show that NURBS interpolation algorithm based on NewtonRapson iteration method of the calculation process is simple, practical and effective. Itmee ts the realtime, highspeed,efficient numerical control (NC)system interpolation requirements, as well as hashigh reference significance in other NC interpolation.