Hunting stability of high-speed train is an important dynamic performance for the design of bogie suspension parameters. An appropriate hunting stability margin is required for high-speed train. Besides, a remarkable ability to weaken the influence caused by the disturbance of bogie suspension parameters and wheel-rail contact parameters on hunting stability is also required. The matching design of bogie passive suspension parameters is an important means to ensure the train comprehensive stability. In this paper, the concept of robust hunting stability is proposed, and the indexes for suspension parameter robustness and wheel-rail contact equivalent conicity robustness are defined and chosen as the dynamic performance indexes for the bogie suspension parameters design. Design of Experiment (DOE) is used to search the suspension parameters to satisfy the defined robust hunting stability indexes. Vehicle linear stability analysis is performed based on a large number of combined random suspension parameters, and then the parameters satisfying the performance requirements are designed, from which the parameter matching rules are concluded based on the discrete statistical analysis. Using this method, the suspension parameters can be designed to satisfy the defined multiple vehicle dynamic performance indexes, instead of engineering experiences.