  We study the inflation in a model with a Gauss-Bonnet term which is
non-minimally coupled to a DBI field. We study the spectrum of the primordial
perturbations in detail. The non-Gaussianity of this model is considered and
the amplitude of the non-Gaussianity is studied in both the equilateral and
orthogonal configurations. By taking various functions of the DBI field,
inflaton potential and the Gauss-Bonnet coupling term, we test the model with
observational data and find some constraints on the Gauss-Bonnet coupling
parameter.
