In this paper, we establish some oscillation criteria for nonautonomous second order neutral delay dynamic equations $(x(t){pm}r(t)x({ au}(t)))^{{Delta}{Delta}}+H(t,;x(h_1(t)),;x^{Delta}(h_2(t)))=0$ on a time scale ${mathbb{T}}$. Oscillatory behavior of such equations is not studied before. This is a first paper concerning these equations. The results are not only can be applied on neutral differential equations when ${mathbb{T}}={mathbb{R}}$, neutral delay difference equations when ${mathbb{T}}={mathbb{N}}$ and for neutral delay q-difference equations when ${mathbb{T}}=q^{mathbb{N}}$ for q>1, but also improved most previous results. Finally, we give some examples to illustrate our main results. These examples arc [lot discussed before and there is no previous theorems determine the oscillatory behavior of such equations.