  We consider the cosmological constraints on the holographic dark energy model
by using the data set available from the type Ia supernovae (SNIa), CMB and BAO
observations. The constrained parameters are critical to determine the
quintessence or quintom character the model. The SNIa and joint SNIa+CMB+BAO
analysis give the best-fit results for $\beta$ with priors on $\Omega_{m0}$ and
$\omega_0$. Using montecarlo we obtained the best-fit values for $\beta$,
$\Omega_{m0}$ and $\omega_0$. The statefinder and $Om$ diagnosis have been used
to characterize the model over other DE models.
