  In this paper, we investigate the fluid/gravity correspondence in the
framework of massive Einstein gravity. Treating the gravitational mass terms as
an effective energy-momentum tensor and utilizing the Petrov-like boundary
condition on a timelike hypersurface, we find that the perturbation effects of
massive gravity in bulk can be completely governed by the incompressible
Navier-Stokes equation living on the cutoff surface under the near horizon and
nonrelativistic limits. Furthermore, we have concisely computed the ratio of
dynamical viscosity to entropy density for two massive Einstein gravity
theories, and found that they still saturate the Kovtun-Son-Starinets (KSS)
bound.
