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Burger’s equation plays a key role in explaining the behavior of nonlinear systems. In this paper, Elzaki Homotopy Perturbation Method (EHPM) was applied to (2 + 1) dimensional coupled differential Burger’s equation so as to obtain series and exact solution of two dimensional Burger’ equations. The approximate analytic solution of the problem was obtained with small amount of computations. Two numerical examples have been solved to illustrate the accuracy and implementation of the method. The comparison of numerical results shows good agreement obtained by other analytical methods, exact and proposed method. Thus, EHPM can further be applied to solve nonlinear problems arising out of different physical phenomena.