This study presents a new approach of localization for an elastic periodic cutting tool holder of milling machine. The paper presents a study of the factorial design application to optimize surface quality in end milling operation. Maintaining good surface quality usually involves additional manufacturing cost or loss of productivity. Therefore, mathematical model using Matlab which is feasible and applicable in prediction of surface roughness is developed. Proper setting of cutting parameter is important to obtain better surface roughness. Spindle speed, feed rate, and depth of cut have been chosen as predictors in order to predict surface roughness. 16 samples were run by using Emco CNC Milling machine tool. The predicted surface roughness has been obtained by using average percentage error method. A numerical model that describes the structure of the periodic holder is developed. The approximate values of periodic holder model versus to straight are plotted. The results from this research are useful to be implemented in industry to reduce time and cost in surface roughness (response) prediction.