我們從 metric compatible teleparallel 幾何所描述的廣義相對論中,用協變 Hamiltonian理論的表示方法,得到一個新的準局域能量-動量與角動量的表示式,由此方法所得到的場方程式和其中之一的準局域能量表示式與一般在黎曼時空幾何所描述的廣義相對論是一致。我們以這新的能量表示式,計算Kerr 解在無窮遠的總能量與角動量,來驗証這個新的表示式。結果與預期的一致。因此在無窮遠,我們的表示式提供一個在 teleparallel 幾何描述下,等價於與在黎曼時空幾何中,較理想的能量-動量與角動量的局域化。 A new quasilocal energy expression for conserved quantities, energy and angular momentum, is obtained from the covariant Hamiltonian formulation of metric compatible teleparallel GR. The field equations and one of the quasilocal expressions obtained from our approach turn out to be equivalent to those of usual Riemannian description of GR. We tested our expressions by evaluating them for the Kerr solution without cosmological constant and found them to give the correct total value for energy and angular momentum asymptotically. Our result shows that contrary to Moller's expectation the teleparallel formulation is no better than the Riemannian description in providing for a good localization of energy-momentum and angular momentum.