  We prove abundance for a minimal Kaehler threefold which is not both simple
and non-Kummer. Recall that a variety is simple if there is no compact
subvariety of positive dimension through a sufficiently general point .
Furthermore we prove that a smooth compact Kaehler threefold whose canonical
bundle is not nef, carries a contraction unless (possibly) the manifold is
simple non-Kummer. It is generally conjectured that simple threefolds must be
Kummer.
