The asymptotic behavior of higher order neutral difference equations with continuous arguments Δd(x(t)+q(t)x(t-τ))+p(t)f(x(t-δ(t)))=0 was studied.It showed that the formula was asymptotic in that the {x(t)} converge to a certain finite value when →+∞x(t)=0 or t→∞ by transforming the three conditions in Lemma to get the asymptotic equation under the assumption of non-oscillatory solution.