Motion profile smooth control is significant to reduce the obvious impact on machine tool in high speed and high accuracy CNC machining. However, the jerk is discontinuous and brings about flexible impact on machine tool in the linear Acceleration/Deceleration (ab. Acc/Dec), exponent Acc/Dec and S curve Acc/Dec approach. In the paper, the CNC machine tool dynamic model is built up to analyze the cause of machine impact, to describe the mathematics and physics meanings of jerk. Then a new Acc/Dec approach in which the jerk is continuous is put forward. And the motion profile smooth control algorithm based on continuous jerk is developed in details according to the permissible maximum acceleration, the permissible maximum jerk, the machining program segment displacement and the instruction feedrate. The motion profile smooth control algorithm can achieve continuous jerk, reduce impact on machine tool effectively, and be important to high speed and high accuracy CNC machining.