  The asymptotic behaviors of the integrated density of states $N(\lambda)$ of
Schr\"odinger operators with nonpositive potentials associated with Gibbs point
processes are studied. It is shown that for some Gibbs point processes, the
leading terms of $N(\lambda)$ as $\lambda\downarrow-\infty$ coincide with that
for a Poisson point process, which is known. Moreover, for some Gibbs point
processes corresponding to pairwise interactions, the leading terms of
$N(\lambda)$ as $\lambda\downarrow-\infty$ are determined, which are different
from that for a Poisson point process.
