  We study the BRST cohomology for two-dimensional supergravity coupled to
$\hat c \leq 1$ superconformal matter in the conformal gauge. The
super-Liouville and superconformal matters are represented by free scalar
fields $\phi^L$ and $\phi^M$ and fermions $\psi^L$ and $\psi^M$, respectively,
with suitable background charges, and these are coupled in such a way that the
BRST charge is nilpotent. The physical states of the full theory are determined
for NS and R sectors. It is shown that there are extra states with ghost number
$N_{FP}=0,\pm 1$ for discrete momenta other than the degree of freedom
corresponding to the ``center of mass", and that these are closely related to
the ``null states" in the minimal models with $\hat c<1$.
