  We consider localization of gravity on thick branes with a non trivial
structure. Double walls that generalize the thick Randall-Sundrum solution, and
asymmetric walls that arise from a Z_2-symmetric scalar potential, are
considered. We present a new asymmetric solution: a thick brane interpolating
between two AdS_5 spacetimes with different cosmological constants, which can
be derived from a ``fake supergravity'' superpotential, and show that it is
possible to confine gravity on such branes.
