In this article, the generalized Kudryashov method which provides the exact solutions is examined. It is possible to obtain new exact solutions of the nonlinear differential equations with this method. By implementing this developed method to the two-dimensional KdV-Burger equation, new exact solutions of this equation are found. This new exact solutions are the solutions that are not in the literature. In addition, two and three-dimensional graphics of these new exact solutions have been drawn and their physical behavior has been demonstrated.