In order to realize the acceleration/deceleration control of CNC based on differential interpolation principle, the differential interpolation movement was studied by the line and conical curve. The detailed acceleration/deceleration control strategies were formulated by analyzing the motion characteristics of the basic axis and non basic axis in differential interpolation theory. Through the segmentation of conic curve, the unification of acceleration/deceleration control strategy was realized. The speed parameters obtained by the decoding could be applied to a variety of acceleration/deceleration models, and the accurate start/stop motor could ensure the correctness of the interpolation position. The machining experimental results show that the acceleration/deceleration control strategy can be used to realize acceleration/deceleration function of the CNC system. It is a good foundation for guaranteeing the machining efficiency and quality of NC system and meeting the requirements of modern production and processing.