  In the $\bar{\mbox{\rm Poincar\'{e}}}$ gauge theory of gravity, which has
been formulated on the basis of a principal fiber bundle over the space-time
manifold having the covering group of the proper orthochronous Poincar\'{e}
group as the structure group, we examine the tensorial properties of the
dynamical energy-momentum density ${}^{G}{\mathbf T}_{k}{}^{\mu}$ and the ` `
spin" angular momentum density ${}^{G}{\mathbf S}_{kl}{}^{\mu}$ of the
gravitational field. They are both space-time vector densities, and transform
as tensors under {\em global} $SL(2,C)$- transformations. Under {\em local}
internal translation, ${}^{G}{\mathbf T}_{k}{}^{\mu}$ is invariant, while
${}^{G}{\mathbf S}_{kl}{}^{\mu}$ transforms inhomogeneously. The dynamical
energy-momentum density ${}^{M}{\mathbf T}_{k}{}^{\mu}$ and the ` ` spin"
angular momentum density ${}^{M}{\mathbf S}_{kl}{}^{\mu}$ of the matter field
are also examined, and they are known to be space-time vector densities and to
obey tensorial transformation rules under internal $\bar{\mbox{\rm
Poincar\'{e}}}$ gauge transformations. The corresponding discussions in
extended new general relativity which is obtained as a teleparallel limit of
$\bar{\mbox{\rm Poincar\'{e}}}$ gauge theory are also given, and
energy-momentum and ` ` spin" angular momentum densities are known to be well
behaved. Namely, they are all space-time vector densities, etc. In both
theories, integrations of these densities on a space-like surface give the
total energy-momentum and {\em total} (={\em spin}+{\em orbital}) angular
momentum for asymptotically flat space-time. The tensorial properties of
canonical energy-momentum and ` ` extended orbital angular momentum" densities
are also examined.
