The control effectiveness of electro-hydraulic actuators significantly determines the overall performance of hydraulic active suspension systems. However, the electro-hydraulic actuator systems exhibit notable nonlinearity and various uncertainties, posing challenges for achieving high-precision displacement tracking control. This paper first establishes the servo valve flow equation, active suspension actuator flow equation, and the system's dynamic equations based on the electro-hydraulic servo model of the hydraulic active suspension system, providing theoretical support for the control strategy design. Subsequently, an integral backstepping control method is introduced, which constructs a Lyapunov function to ensure the system's asymptotic stability and achieve precise displacement tracking control of the hydraulic active suspension actuator. This method incorporates the integral term into the backstepping control design, enhancing the system's ability to compensate for model uncertainties and external disturbances. Through displacement tracking and error analysis for three different desired trajectories, the results demonstrate that the proposed control strategy exhibits excellent performance in terms of displacement tracking accuracy, disturbance rejection, and system stability. This study provides an effective control scheme to enhance the dynamic response and steady-state accuracy of hydraulic active suspension systems.