  Statefinder diagnostic is a useful method which can differ one dark energy
model from the others. The Statefinder pair $\{r, s\}$ is algebraically related
to the equation of state of dark energy and its first time derivative. We apply
in this paper this method to the dilaton dark energy model based on Weyl-Scaled
induced gravitational theory. We investigate the effect of the coupling between
matter and dilaton when the potential of dilaton field is taken as the Mexican
hat form. We find that the evolving trajectory of our model in the $r-s$
diagram is quite different from those of other dark energy models.
