In this paper, we present a new method for the solution of state space systems using single term Haar wavelet series (STHWS) method. The effectiveness of this technique is demonstrated by using it to find discrete solutions for any length of time t. We begin by showing how the STHWS method applies to a state space system of differential equations and some examples are illustrated to prove the sufficiency of the method for state systems of differential equations. The method is more general and easy to implement for yielding accurate results.