  An investigation about localized CP asymmetries for the processes of
$\bar{B}_{s}^{0} \rightarrow \pi^{+}\pi^{-}\pi^{0} (K^{0})$ is presented in
this paper. The innovation of this paper is that there is a consideration of
three-particle $\rho^0(770)$, $\omega(782)$ and $\phi(1020)$ interferences
effect. Generally, $\omega(782)$ and $\phi(1020)$ both can decay into $\pi
^+\pi ^-$ pair where can cause extremely small contribution from isospin
symmetry breaking. Nevertheless, our analysis shows that $\bar{B}_{s}^{0}
\rightarrow \pi ^+\pi ^-\pi^{0}(K^{0})$ decay process can bring differential CP
asymmetry about $65\%$ ($36\%$) because of isospin symmetry breaking. To better
compared with the data from experimental in the future, we integrate CP
asymmetry over the invariant mass and obtain localized CP asymmetry value for
the decay $\bar{B}_{s}^{0} \rightarrow \pi ^+\pi ^-\pi^{0} (K^{0})$. We find
that there is an evident signal about CP asymmetry at invariant mass value
$m(\pi^{+}\pi^{-})$ below the mass of $\rho(770)^{0}$ with the decay
$\bar{B}_{s}^{0} \rightarrow \pi ^+\pi^{-}\pi^{0}$.
