The paper investigates the analytical and numerical solution of MHD natural convection of grade three of a non-Newtonian Nanofluid flow between two vertical flat plates through a porous medium under the influence of non-Darcy resistance force, viscous dissipation, and heat generation/absorption. Analytically the nonlinear partial differential equations describing the present problem are solved using Multi−step differential transform method (MDTM) one of the most successful approaches for calculating an approximate solution to a system's nonlinear differential equations [1]. Numerically paired linearized differential (momentum and energy) equations are transformed into a linear system of algebraic equations using the finite difference method (FDM). Graphs and tables are used to display the effects of different parameters on velocity and temperature. The comparisons between current results and available previous results are listed in the tables, which indicate that the current answers are very similar to the past answers. The study found that (MDTM) and (FDM) are powerful approaches for solving non-linear differential equations such as this problem.