Military ships are easily affected by the far-field underwater explosion in war. Although the shock wave load and bubble pulsation load produced by the explosion will not cause serious damage to the hull structure, but with large plastic deformation. At present, the anti-explosion protection structure of the warships with good anti-explosion performance, less space and mass resource is demanding further research. In the current study, the acoustic-structure coupling method is used to calculate the dynamic response of the stiffened plate structure and the macroscopic negative Poisson's ratio grillage structure under the far-field underwater explosion, comparing and analyzing the far-field anti-explosion performance of the stiffened plate structure and the macroscopic negative Poisson's ratio grillage structure. The results show that the macroscopic negative Poisson's ratio grillage structure has better far-field underwater anti-explosion performance than the stiffened plate structure. The influence of each parameter on the far-field underwater anti-explosion performance of the macroscopic negative Poisson's ratio grillage structure is then studied by changing the parameter of the macro negative Poisson's ratio grillage structure. It provides reference for the application of the macro negative Poisson's ratio grillage structure to improve the anti-explosion performance in engineering.