<p>This study proposes a new dynamic model for a hydraulic rebound stopper (HRS) shock absorber to predict dynamic characteristics. In order to simulate and verify the dynamic characteristics of the vehicle, mathematical modeling was conducted on the HRS shock absorber by considering the oil flow in the chamber and valve. The stiffness curve of the valve was simulated using the finite element software Abaqus. The curve was then imported into the detailed model of the shock absorber for simulation using AMESim software. The damping force versus displacement and velocity of the piston was in good agreement with the experimental data. It proved the accuracy of the simulation model. The full vehicle was modeled using Adams software. The dynamic characteristics of the vehicle with HRS shock absorber were analyzed using AMESim/Adams co-simulation model. In order to prove the effectiveness of the proposed damper, the simulation results of the damper characteristics were compared with the experimental ones, which showed similar dynamic behavior. The simulation results were compared with the ones of the general shock absorber. The simulation results indicate that the HRS shock absorber has a reduced impact on bumpy roads. The results presented in this paper will contribute to a more comprehensive understanding of the HRS shock absorber. Moreover, it is postulated that the characteristics of these outcomes may be applied to the dynamic design of vehicles.</p>