  We propose a gravitational energy-momentum tensor of the general relativity
obtained using Noethers theorem. It transforms as a tensor under general
coordinate transformations. One of the two indices of the gravitational
energy-momentum tensor labels a local Lorentz frame that satisfies the
energy-momentum conservation law. The energies for a gravitational wave and a
Friedmann-Lemaitre--Robertson--Walker universe are calculated as examples.
