In this paper, the New Iterative Method is implemented to give approximate solution for nonlinear differential equation of fractional order involving Caputo fractional derivative. The New Iterative Method produces solution in terms of a series. The obtained series is checked for sufficiency conditions for convergence of New Iterative Method and the solution obtained is compared with the exact solution, Variational Iteration Method and Adomian Decomposition Method. The comparison shows that the New Iterative Method is very effective and reliable