In this paper, a novel algorithm based on new modified Homotopy Perturbation Method, called NHPM, for fractional partial differential equations was proposed. The two most important steps in the application of the new Homotopy perturbation method are to construct a suitable Homotopy equation, and to choose a suitable initial guess. The method was tested on various examples, and the results showed that; the new method is effective, convenient to use, and very accurate.