Abstract: Recently the authors have studied the oscillations of some neutral differential difference equations and obtained very good results (see[1-4]). In this paper we consider the oscillations of the neutral differential difference equation
(d)/dt[x(t)+∑_i=1 px(t-τ)+∑_j=1ⁿ qx(t-σ)=0, t ≥ t,] (*) where p, τ, q and σ (i=1, 2, …, m; j=1, 2, …, n) are positive constants. Some sufficient conditions for all solutions of (*) to oscillate are obtained. And in some ease we give necessary and sufficient conditions for (*) to oscillate.