  We investigate the validity of the generalized second law of gravitational
thermodynamics on the apparent and event horizons in a non-flat FRW universe
containing the interacting dark energy with dark matter. We show that for the
dynamical apparent horizon, the generalized second law is always satisfied
throughout the history of the universe for any spatial curvature and it is
independent of the equation of state parameter of the interacting dark energy
model. Whereas for the cosmological event horizon, the validity of the
generalized second law depends on the equation of state parameter of the model.
