Based on the research background of M701F gas turbine RSS (rotary symmetric tangential support plate) pedestal-bearing rotor system, a dynamic model of the RSS pedestal-bearing rotor system was established, and the global optimal matching theory and algorithm of the dynamic parameters of the pedestal-bearing rotor system were proposed. Then, taking the relevant dynamic parameters of the RSS pedestal-bearing rotor system of M701F gas turbine as reference, the stable, metastable and unstable eccentricity regions of the RSS pedestal-bearing rotor system were defined by considering the best matching relationship between the rotor eccentricity and the stiffness and damping of the pedestal under different bias rates. The stability range of the global matching eccentricity region and the corresponding optimal matching stiffness and damping range are revealed. The theoretical algorithm and evaluation technique are provided for the global optimal matching design of dynamic parameters of pedestal-bearing rotor system in practical engineering.