The main parameters influencing the displacement transfer rate of the fluid-elastic isolator are studied and optimized. Firstly, the equation of motion is derived by applying the Lagrange principle. The effects of the main design parameters on the displacement transfer rate of the fluid-elastic isolator are analyzed. Secondly, parameter optimization design is conducted by employing the genetic algorithm for a civil helicopter. by Aiming at the minimum displacement transfer rate, the optimal parameters are determined. Lastly, the criterion for parameter optimization design is proposed considering both the displacement transfer rate and the weight cost. Design parameters with a high vibration isolation rate and low weight are obtained. Results reveal that the vibration isolation behavior of a fluid-elastic vibration isolator depends on the coupling effects of multiple parameters. The parameters obtained by the genetic algorithm demonstrate a higher vibration isolation rate than the ordinary parameter design. Based on the optimization criterion, the fluid elastic isolator possesses a higher vibration isolation rate and lower weight cost than the experimental result in the literature. And it will be helpful for the parameter design of the fluid elastic isolator.