In this paper, numerical and analytical solution of composite metal cylindrical vessel are investigated under dynamic load using first-order shear deformation theory and differential quadrature method. For this purpose, the shell equilibrium equations are derived based on the first order shear deformation theory. The load applied to the shell is achieved from the experimental test of a double-base propellant and then, is applied to the model in numerical and theoretical analysis. The aim of this paper is study and investigate the behavior of the composite metal cylindrical vessel under dynamic load with first-order shear deformation theory and comparing its results with the numerical solution. Therefore, after extracting the shell equilibrium equations are used from differential quadrature method for solve the equations. Then, the governing equations are extracted in a composite metal cylindrical vessel to form the matrix equations to solve with differential quadrature method. To apply boundary conditions from free and support clamping conditions are used and the results of these two modes are compared together. The MATLAB programming code is used to solve differential quadrature equations. To validate theoretical results, modeling and numerical analysis done by Abaqus finite element software and then, results are compared with the analytical solution using the differential quadrature method.