Abstract: In this paper the problem of stability of grey linear time-invariant systems is investigated in virtue of the properiest of non-negative irreducible matrices.Besides,the sufficient criterion for stability of grey linear time-invariant systems are given.The criterion obtained here is helpful to the analysis of the stability of linear time-varying systems as well as grey systems.As an illustrative example of the criterion,the sufficient condition is given under which the stability of linear time-varying systems is guaranteed.And in terms of the sufficient condition it is much more convenient and simpler to judge Whether some linear time-varying systm is stable or not.