In this article, we develop a method to obtain approximate solutions of nonlinear coupled partial differential equations with the help of Laplace Decomposition Method (LDM). The technique is based on the application of Laplace transform to nonlinear coupled partial differential equations. The nonlinear term can easily be handled with the help of Adomian polynomials. We illustrate this technique with the help of three examples and results of the present technique have closed agreement with approximate solutions obtained with the help of Adomian Decomposition Method (ADM). Approximate solutions · Laplace decomposition method · nonlinear coupled partial differential equations · Adomian decomposition method