In this project, the generalization of the Sumudu iterative method for the n order nonlinear delay differential equations is given. The method will play an important role to find approximate analytical solutions of nonlinear delay differential equations subject to the initial conditions which cannot be solved by applying Sumudu transform alone. The solution of the nonlinear part of this equation is solved by the new iterative method’s successive iterative procedures. The results obtained by the proposed method (Sumudu iterative method) show compared with the exact solution with analysis the n-term approximation (less iteration) of the series solution. Illustrative examples are presented to demonstrate the effectiveness, efficiency and applicability of the method. th