This study introduces a narrative process as an enhancement to (ISRAM) Simplified Routh Approximation Method (HODTI) in order to lower the order number of high-order discrete time interval system. Recommended improved Simplified Routh Approximation method keeps the impulse energy intact of the interval system within its representations. The innovative and better method for lowering linear of high-order interval system with discrete time nature to get beyond the shortcomings and restrictions of some of the other approaches that are already in use. This approach starts through the conversion of the discrete system interval to its corresponding continuous system interval by using Bi linear transformation technique. After that construct, the table and find the continuous interval system’s higher order impulse energy. Lastly, the lower order continuous interval model that was produced is transformed returning to the discrete interval model using inverse-bilinear transformation technique. Example illustrating the comparisons and accompanied.