The aim of this paper is to study the asymptotic stability properties of Runge-Kutta(R-K)methods for neutral differential equations(NDDEs)when they are applied to the linear test equation of the form:lems to investigate the delay-dependent stability analysis for NDDEs.The results that the 2,3 stages non natural R-K methods are unstable as Radau IA and Lobatto IIIC are proved.And the s stages Radau IIA methods are unstable,however all Gauss methods are compatible.