Abstract: The accurate numerical model of the adaptive base is established in this paper, and the optimization design for the adaptive base is conducted. The tension modulus amendment formula for cord is firstly derived, and then the calculation method for the parameters of Mooney-Rivilin model used for rubber material is provided. The accurate numerical model of the adaptive base is built, and the numerical results of the additional load are compared with the testing results. Finally, the integral formula of the additional load is deduced, and the four main parameters affecting the additional load are obtained. Treating the four main parameters as design variables, and defining the additional load matching the mass of the missile as the optimizing objective, the approximate mathematical model of the adaptive base is developed on the basis of the DOE method and the RBF method. Using the MIGA method, the optimization design scheme is obtained. The results show that the optimal difference value between the gravity of the missile and the peak value of the additional load decreases to 9.1% of the original difference value, and the angular displacement of the missile in the pitch and yaw decreases by 8.2% and 15.8% respectively.