The responses of the relaxation type of vehicle suspension to steady and transient disturbances are analyzed. The results are compared with the corresponding responses for the standard type of vehicle suspension. The relaxation suspension system shows a definite improvement over the standard suspension system in the response to transient disturbances, as the initial shocks following a sudden wheel movement are reduced greatly. In the particular case of critical adjustment of a relaxation suspension system the maximum amplitude of the transient vibration is approximately 30 per cent lower than that of the standard-type system at critical adjustment. The amplitude and phase-angle curves presented in the paper for the steady-state motion, together with the transient-state-response analysis, permit the design of a relaxation-type suspension system with known vibrational characteristics in both states.