In this study, the variational iteration method is applied to solve linear and nonlinear fractional initial-value problems (flVPs). The fractional derivatives are described by Caputo's sense. Fractional initial-value problems (fIVPs) arise from many fields of physics and play a very important role in various branches of science and engineering. Finding accurate and efficient methods for solving flVPs has become an active research undertaking. Exact and/or approximate analytical solutions of the fIVPs are obtained by the variational iteration method. The results of applying this procedure to the studied cases show the high accuracy, simplicity and efficiency of the approach.