The lattice gas with nearest neighbour-exclusion on the simple cubic l
attice is studied by means of statistically accurate Monte Carlo simul
ations with an efficient cluster algorithm. Our results for critical e
xponents are y(h) = 2.47(1) and y(t) = 1.60(2). These results agree we
ll with the three-dimensional Ising universality class. We explain the
discrepancy with an earlier study. The critical activity is z(c) = 1.
0559 (1). The size distribution of the clusters indicates that the per
colation threshold of the cluster formation process of the Monte Carlo
algorithm coincides with the critical point.