  We discuss the feasibility of spontaneous CP violation being induced by
radiative corrections in 2HDM's, emphasizing on a consistent treatment at
1-loop level. Specifically, we analyze the cases of gaugino/higgsino effect on
MSSM, and a new model proposed here with an extra, exotic, quark doublet. The
latter model is phenomenologically interesting. One conclusion is that some
fine tuning is in general needed for the scenario to work. The case for the new
model requires a tree level mass mixing between the two Higgses, which fits in
the standard SUSY picture. The fine tuning requires is then very moderate in
magnitude and in a way natural.
