The purpose of this article is to give oscillation criteria for the third-order neutral dynamic equation (r2(t)[(r1(t)[y(t)+p(t)y(τ(t))]△)△]γ)△+f(t,y(δ(t)))=0, where γ⩾1 is a ratio of odd positive integers with r1(t), r2(t), and p(t) are positive real-valued rd-continuous functions defined on . We give new results for the third-order neutral dynamic equations and an example to illustrate the importance of our results.