  We consider strict and complete nearly Kaehler manifolds with the canonical
Hermitian connection. The holonomy representation of the canonical Hermitian
connection is studied. We show that a strict and complete nearly Kaehler is
locally a Riemannian product of homogenous nearly Kaehler spaces, twistor
spaces over quaternionic Kaehler manifolds and 6-dimensional nearly Kaehler
manifolds. As an application we obtain structure results for totally geodesic
Riemannian foliations admitting a compatible Kaehler structure. Finally, we
obtain a classification result for the homogenous case, reducing a conjecture
of Wolf and Gray to its 6-dimensional form.
