In this project, we apply the combination of Natural transform and Adomian Decomposition method to solve fractional order diffusion equations. The linear term in the equation can be solved by using Natural Transform Method and the nonlinear term can be handled by using Adomian Decomposition Method. Nonlinear fractional order diffusion equations are important class of parabolic equations that appear in many physical problems like phase transition, biochemistry and dynamics of biological groups, -. The hybrid method enables us to obtain series solutions and an approximate analytic solution of various fractional differential equations. The main advantage of this technique is that the solution can be expressed as an infinite series solution that converges to the exact solution.