Dynamic large deflection analysis of composite plates is considered. Galerkin method with the use of Newmark's scheme in association with Newton-Raphson method is applied to obtain the dynamic nonlinear response of the plates. The von Karman plate theory is utilized and the governing differential equations axe solved by choosing suitable polynomials as trial functions to approximate the plate displacement functions. The solutions are compared to that of finite strips. A very close agreement has been observed with this approximating method. In the solution process, analytical computation has been done wherever it is possible, and analytical-numerical type approach has been made for all problems.