  In this work we investigate the evolution of matter density perturbations for
two different quintessence models. One of them is based on the Einstein theory
of gravity, while the other is based on the Brans-Dicke scalar tensor theory.
We show that it is possible to constrain the parameter space of the models
using the determinations for the growth rate of perturbations derived from data
of the 2-degree Field Galaxy Redshift Survey.
