A design, a mathematical model are presented and a calculation technique of quality indicators of the gas-static thrust bearing dynamics with the elastic suspended support center is described. It is shown that the application of such improvement allows to eliminate completely essential shortcomings of the quality of dynamics characteristic for a bearing with annular diaphragms and transforms the construction into a dynamic system with optimal dynamic characteristics – high indicators of degree of stability, aperiodic nature of the transient process, values ​​of the oscillation index that are peculiar to ideally damped dynamic systems.