To ensure the scribe-wheel is always forward along the tangent direction of the cutting path, a new planning algorithm is proposed for the cutter shaft rotating control. The short linear segments used for approximating the cutting curve are separated by the equipartition conditions. For the satisfied ones, the angle between the adjacent segments is linearly interpolated and the cutter shaft rotates without stopping the machine. Otherwise, it needs to stop and rotate the shaft. The experiments show that the deviation error of scribe-wheel is small, and the error existing period is short, which proves the algorithm can achieve the scribe-wheel tangential tracing and satisfy the accuracy requirements while cutting complex shapes.