To improve the efficiency of underwater structure acoustic calculation, this paper uses the FE software analysis the sound radiation of underwater cylindrical shell structure,found the acoustic approximate agent model. Then give the analytical expression between the geometry size and underwater acoustic radiation characteristics of the shell structure,simplifying the acoustic design, found the efficient structural acoustic optimization design model. Therefore, this paper utilizes the Latin Hypercube Sampling method to select sampling points, and considers three types of surrogate models, polynomial response surface approximation, Kriging, and radial basis neural network, to approximate the acoustic radiation of a double cylindrical shell structure. Through comparison of the approximation accuracy of three types of surrogate models, the appropriate surrogate models are chosen to construct the optimization model, and the optimization model is solved by using Matlab optimization toolbox to reduce the weight. This research provides references for predicting the acoustic radiation of underwater structures and performing acoustic design.