A presumption for the dynamic analysis and assessment of the driving quality of railway vehicles is an important experimental determination and verification of the basic characteristics of the suspension respectively. A method for determining these characteristics for two-axle vehicles has been developed and applied. This method requires knowledge of the position of the center of gravity and the main central moments of inertia. Vehicle bodies, chassis frames, and wheelsets are assumed to be rigid bodies under the investigation of these characteristics. The characteristics of the springs are linear or can be linearized. The vehicle body performs a general spatial movement. The result of the investigation is an analytical method to obtain the required characteristics needed for the dynamic analysis of the vehicle.