A new flexible acceleration and deceleration control algorithm was proposed to solve the problem of precision and efficiency degradation caused by sudden jerk change in the process of machining micro-segment by CNC.The continuous and smooth motion control curve of jerk was built based on the sine function,and the speed planning of the new flexible acceleration and deceleration algorithm was realized by analyzing the length of the processing line segment of the CNC and the initial and final speed.The simulation and experimental test results show that this algorithm can effectively reduce the vibration caused by the sudden change of jerk and improve the stability and efficiency of NC machining process compared with the traditional S-shaped algorithm.