  We construct the membrane paradigm for black objects in Einstein-Gauss-Bonnet
gravity in spacetime dimensions $ \ge 5$. As in the case of general relativity,
the horizon can be modeled as a membrane endowed with fluidlike properties. We
derive the stress tensor for this membrane fluid and study the perturbation
around static backgrounds with constant curvature horizon cross section, for
which the stress tensor can be regularized with the usual redshift factor, and
expressed in the form of a Newtonian viscous fluid with pressure, shear
viscosity and bulk viscosity. We evaluate the transport coefficients for black
holes with constant curvature horizons and negative or zero cosmological
constant. For the black brane geometry our result for the ratio of shear
viscosity to entropy density agrees with that obtained previously in different
frameworks.
