This paper introduces a novel successful hybrid method of solving different kinds for time-fractional nonlinear partial differential equation (TFr-NLPDEs). A technique combine Shehu, & Sumudu integral transform of fractional order derivative, that described in the Caputo sense, with the variational iteration method (VIM). Time-fractional equations such as the Kortwe-De Veries (KdV) and the Kortweg-De Veries Burgers (KdV-B) equations are solved by the suggested method with results occurred as a convergent series. Some numerical examples confirm the effectiveness of the suggested method under appropriate initial conditions. The resulting series solutions converge to the exact solutions of the equations. The results are compared with the exact solutions and to some existing approaches in the literature to show the efficiency, accuracy, and simplicity of the method.