  In this paper we study cosmological application of holographic dark energy
density in the Brans-Dicke framework. We employ the holographic model of dark
energy to obtain the equation of state for the holographic energy density in
non-flat (closed) universe enclosed by the event horizon measured from the
sphere of horizon named $L$. Our calculation show, taking
$\Omega_{\Lambda}=0.73$ for the present time, the lower bound of $w_{\rm
\Lambda}$ is -0.9. Therefore it is impossible to have $w_{\rm \Lambda}$
crossing -1. This implies that one can not generate phantom-like equation of
state from a holographic dark energy model in non-flat universe in the
Brans-Dicke cosmology framework. In the other hand, we suggest a correspondence
between the holographic dark energy scenario in flat universe and the phantom
dark energy model in framework of Brans-Dicke theory with potential.
