  We display the full anomaly structure of supergravity, including new D-term
contributions to the conformal anomaly. This expression has the super-Weyl and
chiral U(1)_K transformation properties that are required for implementation of
the Green-Schwarz mechanism for anomaly cancellation. We outline the procedure
for full anomaly cancellation. Our results have implications for effective
supergravity theories from the weakly coupled heterotic string theory.
