  The holographic dark energy model is an attempt for probing the nature of
dark energy within the framework of quantum gravity. The dimensionless
parameter $c$ determines the main property of the holographic dark energy. With
the choice of $c\geq 1$, the holographic dark energy can be described
completely by a quintessence scalar field. In this paper, we show this
quintessential description of the holographic dark energy with $c\geq 1$ and
reconstruct the potential of the quintessence as well as the dynamics of the
scalar field.
