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In order to solve the problems of low interpolation accuracy and low efficiency in machining irregular track curves of cutting bed motion control system, the research and design of b-spline curve interpolation algorithm based on im-proved BP neural network was proposed.. By adding momentum factor, this algorithm improves BP neural network to train B-Spline curve off-line, and uses negative feedback to correct output and predict interpolation points, thus avoiding the deviation caused by the interpolation of BP neural network. At the same time, according to the change of curvature radius of machining curve, the forward-looking planning of the speed is completed, and the high-speed transition of machining at the corner is realized. Finally, the algorithm is simulated on Matlab and tested on the experimental platform. The experimental results show that the cutting bed motion control algorithm proposed in this paper can complete material cutting with high efficiency and precision.