  The presentation of supergravity theories of our previous paper
"Super-Poincare' algebras, space-times and supergravities (I)" is re-formulated
in the language of Berezin-Leites-Kostant theory of supermanifolds. It is also
shown that the equations of Cremmer, Julia and Scherk's theory of
11D-supergravity are equivalent to manifestly covariant equations on a
supermanifold.
