This paper deals with the analysis and discussion of nonlinear dynamic response of a laminated composite plate subjected to blast load. Dynamic equations of the plate are derived by the use of the virtual work principle. The geometric nonlinearity effects are taken into account with the von Kármán large deflection theory of thin plates. Approximate solutions for a simply supported plate are assumed for the space domain. The single term approximation functions are selected by considering the nonlinear static deformations of plate, which is obtained using finite element method. The Galerkin Method is used to obtain the nonlinear differential equations in the time domain. The finite difference method is applied to solve the system of coupled nonlinear equations. The results of approximate-numerical analysis are obtained and compared with the literature and finite element results. Good agreement is found for the character and frequencies of vibrations.