We discuss the Chern-Simons theory in three-dimensional curved space-t
ime in the vielbein formalism. Due to the additional presence of the l
ocal Lorentz symmetry, beside the diffeomorphisms, we will include a l
ocal gravitational supersymmetry (superdiffeomorphisms and super-loren
tz transformations), which allows us to show the perturbative finitene
ss at all orders.