In this study, the numerical and experimental investigation of the maximum deflection of circular plates under shock wave from the air blast is discussed. Shock wave will generated by explosion of a spherical charge at different distances from center of the plate. Two series of tests were designed, in the first series of non-uniform shock wave reached the structure, and the second series of shock waves, is uniformly. The purpose of design and implementation of experiments to investigate the effect of waves on the deformation behavior and extract semi-empirical model to predict the maximum deflection of the center of the circular plate subjected normal shock wave uniform and non-uniform. These two models as a function of the Nurick damage number, that effects of all parameters of explosive material and structures are summary and dimensionless, are presented. Then for the experimental verification using finite element software LS-DYNA, the numerical simulation of the behavior of plate under free air explosion was performed and the results were compared with experimental results. Results obtained with acceptable margin of error is close to the experimental results. Finally the results obtained were compared with semi-empirical models of other scholars who have researched this area