Productivity of high speed milling operations can be seriously limited by chatter occurrences. Chatter is a self-excited vibration that occurs during the machining operations. Chatter occurrence is strongly affected by dynamic response of the whole system. It can imprint poor surface on the work piece and bifurcation happen. The main dynamic problem is self-excited vibration called regenerative chatter. A stability lobe can be used to predict the chatter vibration. This method can be highly sensible to the dynamic properties. Chatter identification technique is based on analytical-experimental and numerical method. A stability lobe diagram is formed by a series of intersected scallop-shaped borderlines of stability. There are various algorithms which can be applied in optimization of machining process. The critical cutting speed and axial flow of depth of cut are analytically determined by Eigen values of the domain. Numerical method, dynamics of milling process is described by the discontinuous differential equations. Frequency response function is positioned in tool position. Time varying dynamic cutting force coefficients is approximated by Fourier series. By comparing the results of both analytical & numerical methods they can easily predict the chatter vibration. Mat lab, spreadsheet is the software used for the simulation.