The work of this paper is motivated by the recently published article \cite{zeidan2020mathematical} (Zeidan \et, “ Mathematical studies of the solution of burgers’ equations by adomian decomposition method”, M2AS, 2020) in which the authors have discussed the Adomian decomposition method (ADM) to solve 1 dimensional Burgers’ equation in viscous and inviscid forms. Here we propose an effective and better efficient semi-analytical method named variational iteration method (VIM) \cite{he1999variational} to solve all the Burgers’ equations considered in \cite{zeidan2020mathematical}. The novelty of the proposed scheme over ADM is proven by comparing the truncated series solutions of \cite{zeidan2020mathematical} and can be visualized from the graphs and error tables. In addition to this, we have extended the VIM to solve 2D and 3D Burgers’ equations and thanks to the scheme the closed form solutions are investigated in all the cases. The convergence analysis for 1D, 2D, and 3D Burgers’ equations are also included.