  A black brane solution to a Gauss-Bonnet massive gravity is introduced. In
the context of AdS/CFT correspondence, the viscosity to entropy ratio is found
by the Green-Kubo formula. The result indicates violation of the well-known KSS
bound as expected in a higher derivative theory. Setting mass zero gives back
the known viscosity to entropy ratio dependent on the Gauss-Bonnet coupling,
while without Gauss-Bonnet term, a nonzero mass parameter doesn't contribute to
the ratio which saturates the bound of $1/4\pi$.
