  The inflationary attractor properties of the canonical scalar field and
Born-Infeld field are investigated in the Randall-Sundrum II scenario with a
Gauss-Bonnet term in the bulk action. We find that the inflationary attractor
property will always hold for both the canonical and Born-Infeld fields for any
allowed non-negative Gauss-Bonnet coupling. We also briefly discuss the
possibility of explaining the suppressed lower multiples and running scalar
spectral index simultaneously in the scenario of Gauss-Bonnet brane inflation.
