A flexible acceleration and deceleration control algorithm of the servo motor was proposed, in which the two trigonometric functions of different cycles were used to construct the acceleration and deceleration function. This algorithm could better match with the servo motor’s characteristics, and reduce the requirement of servo motor power. The calculation formulas of displacement, velocity, acceleration and jerk of the servo motor were derived. The performance of this algorithm was compared with the trigonometric function acceleration and deceleration control algorithm. The experimental results showed that this algorithm could be applied to plan the drawing profiles for the servo press. 