Abstract: The delay-dependent stability for the neutral type linear systems with delay is discussed. At first, the neutral system is equivalently represented as a descriptor system, then the Lyapunov-Krasovskii functional method is used. By adding some appropriate zero terms to the deviation of V and constructing some linear matrix inequalities。 the delay-dependent stability sufficient condition is derived to ensure the neutral system's asymptotical stability. At last, some examples are given to illustrate that the new sufficient condition is less conservative than the present results.