In this paper, we will establish some oscillation criteria for the even-order nonlinear functional dynamic equations with unbounded neutral coefficients on time scales r(t) v ∆ n−1 (t) β ∆ + f (t, (u • h) (t)) = 0, for all Jt 0 , on a time scale T, with sup T = ∞, where β is a quotient of odd integer, such as β > 0, with Jt 0 = [t0, ∞) ∩ T, and v(t) := u(t) + i=k i=1 pi(t) (u • ηi) (t), for all Jt 0 , where n is an integer, such as n ≥ 1. This study aims to present some new sufficient conditions for the oscillatory of solutions to a class of even-order nonlinear functional dynamic equations.