In this Letter 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 shows, taking ΩΛ=0.73 for the present time, the lower bound of wΛ is −0.9. Therefore it is impossible to have wΛ crossing −1. This implies that one cannot generate phantom-like equation of state from a holographic dark energy model in non-flat universe in the Brans–Dicke cosmology framework. On 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.