In this paper, the delay-dependent robust stability is investigated for uncertain neutral-type delayed neural networks with discrete interval time-varying delays. The parameter uncertainties are assumed to be norm bounded. Based on the Lyapunov-Krasovskii functional, the Leibniz-Newton formula and the linear matrix inequality (LMI) technique, some robust stability conditions are proposed by introducing some free-weighting matrices. A numerical example is presented to illustrate the efficiency of proposed result.