  In this paper we provide a criteria for geometric finiteness of Kleinian
groups in general dimension. We formulate the concept of conformal finiteness
for Kleinian groups in space of dimension higher than two, which generalizes
the notion of analytic finiteness in dimension two. Then we extend the argument
in the paper of Bishop and Jones to show that conformal finiteness implies
geometric finiteness unless the set of limit points is of Hausdorff dimension
n. Furthermore we show that, for a given Kleinian group $\Gamma$, conformal
finiteness is equivalent to the existence of a metric of finite geometry on the
Kleinian manifold $\Omega(\Gamma)/\Gamma$.
