In this paper, we establish some new oscillation criteria for nonautonomous second order neutral delay dynamic equation with several delays
\begin{equation*}
(x(t)-r(t)x(\tau (t)))^{\triangle \triangle }+H(t,x(h(t)))+G(t,x(g(t)))=0 {\normalsize ,}
\end{equation*}
on a time scale $\mathbb{T}$. The results not only can be applied on neutral differential equations when $\mathbb{T}=\mathbb{R}$, neutral delay difference equations when $\mathbb{T=N}$ and for neutral delay $q-$ difference equations when $\mathbb{T=}q^{\mathbb{N}}$ for $q>1$, but also improved most previous results.