Using the Møller and Landau-Lifshitz energy-momentum definitions in General Relativity (GR), we evaluate the energy-momentum distribution of the phantom black hole space-time. The phantom black hole model was applied to the supermassive black hole at the Galactic Centre. In both the aforementioned pseudotensorial prescriptions the energy distribution depends on the mass M of the black hole, the phantom constant p and the radial coordinate r. Further, all the calculated momenta are found to be zero. The limiting cases r → 0, r → ∞ and r → −∞ have also been the subject of the study.