Abstract: A passive realization method was presented for ideal skyhook damping to solve the technical problem in connecting the damper with the inertial reference system. This method takes the anti-resonance phenomenon in the inerter-spring-mass system. The passive realization method of ideal skyhook damping was applied to the vehicle suspension. A half-car model of passive skyhook-damping suspension was built to analyze the frequency-response characteristics of the suspension. The correctness and validity of the passive realization method of ideal skyhook damping were verified in theory. The results show that passive skyhook-damping suspension improves low-frequency response characteristics of vehicle. It inhibits the body's vertical and pitch vibration, as a result, improves ride comfort, and shows the main functions of the ideal skyhook-damping suspension.