In this paper, a two-level finite difference scheme is presented for the numerical approximation of Burger's equation. The full nonlinear problem is solved on a coarse grid of size $H$, and a linear problem is solved on a fine mesh with mesh size $h$. The new difference scheme, which is the implicit one with unconditional stability and easy computation. The method we study provides an approximate solution with nearly the same error as the usual one-level solution, which involves solving one large nonlinear problem on a fine mesh with mesh size $h$. Hence, our method is capable of significantly saving computational time.