  We examine the possibility of the extra dimensional radius stabilization with
only the gravity multiplet in the bulk and some couplings at orbifold fixed
points in a supersymmetric Randall-Sundrum model. Unfortunately, we find that
the radius cannot be stabilized in all the cases we consider. Depending on
parameters in the model, the fifth dimension collapses or its radius goes to
infinity. While the former case is theoretically disastrous, the latter implies
that the so-called ``RS II'' model is automatically realized in our setup.
Although the radius is not stabilized, there is nothing wrong with the
resultant RS II model, because it is not only phenomenologically viable but
also free from the gauge hierarchy problem thanks to its supersymmetric
extension.
