  We study the dimensional reduction of the ${\cal N}=1$, ten-dimensional
Heterotic Supergravity to four dimensions, at leading order in $\alpha'$, when
the internal space is a nearly-K\"{a}hler manifold. Nearly-K\"{a}hler manifolds
in six dimensions are all the non-symmetric coset spaces and a group manifold.
Here we reduce the theory using as internal manifolds the three six-dimensional
non-symmetric coset spaces, omitting the case of the group manifold in the
prospect of obtaining chiral fermions when the gauge fields will be included.
We determine the effective actions for these cases, which turn out to describe
${\cal N}=1$ four-dimensional supergravities of the no-scale type and we study
the various possibilities concerning their vacuum.
