This paper deals with a stick motion compensation system. Stick motion is trajectory error that happens just after a quadrant change in circular motion on NC machine tools. Recently cylindrical machining with an end mill is often executed instead of boring machining with a bore tool. That is why the accuracy with end mill machining is becoming important. Stick motion extremely damages the accuracy and the quality of the circular parts or free form surfaces on workpieces. In the conventional compensation system, tuning parameters for each combination of radius and feed rate is needed. This research proposes a new stick motion compensation system. The new system has a dynamic model that simulates the friction. The simulated friction consists of two components. One is spring resistance in proportion to a reverse distance from a quadrant change. The other is viscous damping friction in proportion to velocity. The system can compensate stick motions suitably for wide range conditions of radii and feed rate.