  For non-flat universe of $k\not=0$, we investigate a model of the interacting
holographic dark energy with cold dark matter (CDM). There exists a mixture of
two components arisen from decaying of the holographic dark energy into CDM. In
this case we use the effective equations of state ($\omega^{\rm eff}_{\rm
\Lambda}, \omega^{\rm eff}_{\rm m}$) instead of the native equations of state
($\omega_{\rm \Lambda},\omega_{\rm m})$.
  Consequently, we show that interacting holographic energy models in non-flat
universe cannot accommodate a transition from the dark energy to the phantom
regime.
