In this paper, a new method of analysis for the stiff systems of higher order using the single-term Haar wavelet series (STHW) is presented. To illustrate the effectiveness of the STHW, A problem have been considered and compared with the single-term Walsh Series (STWS) method, and with the exact solutions of the problem, and are found to be very accurate. Error graphs for the stiff systems of higher order are presented in a graphical form to show the efficiency of this STHW method. This STHW method can be easily implemented in a digital computer and the solution can be obtained for any length of time.