  The four dimensional Godel spacetime is known to have the structure M_3 x R.
It is also known that the three-dimensional factor M_3 is an exact solution of
three-dimensional gravity coupled to a Maxwell-Chern-Simons theory. We build in
this paper a N=2 supergravity extension for this action and prove that the
Godel background preserves half of all supersymmetries.
