The dynamic cutting mathematic model of cylindrical milling cutter was established.The stability region diagram was calculated by using an analytic method,by which the rule that the processing stability changed with the cutting parameters could be obtain.The influence of the system parameters on the chatter stability of milling process was studied,and the system stability was improved by increasing the natural frequency,stiffness and damping of the system.Based on the dynamic stability domain and the resonant power half frequency band,a milling parameter optimization model was proposed.Within cutting stability constraints,the optimal values of the spindle speed,radial feed and axial feed under the maximum machining efficiency could be obtained.The simulation software of milling stability analysis was developed to implement the functions of stability domain analysis,resonance region analysis and cutting parameter optimization and so on.The complex design analysis process is simplified to have the value of engineering application.The method can also be extended to the chatter analysis of grinding and turning.