  In the first part of this series of papers we developed the invariant
differentiation with respect to a Cartan connection, we described this
procedure in the terms of the underlying principal connections, and we
discussed applications of this theory to the construction of natural operators.
In this part we will extend the results of \cite{Ochiai, 70} on the existence
and the uniqueness of the so called normal Cartan connections on manifolds with
almost Hermitian symmetric structures to first order structures which do not
admit a torsion free linear connection. Moreover, for each of these structures
we obtain explicit (universal) formulae for these canonical connections in the
terms of the curvatures of the underlying linear connections.
