  We provide a space-time covariant Hamiltonian treatment for a finite-range
gravitational theory. The Kuchar approach is used to demonstrate the bimetric
picture of space-time in its most transparent form. This Hamiltonian formalism
is applied for the straightforward realization of the Poincar\'e algebra in
Dirac brackets. It uncovers the simplest form of the Poincar\'e generators
expressed as spatial integrals of ultralocal quantities constructed pure
algebraically by means of the two space-time metrics.
