Аннотация:Possibilities of the covariant with respect to both coordinate and local Lorentz transformations formalismdeveloped earlier in the framework of Teleparallel Equivalent of General Relativity (TEGR) are studied.The formalism is applied to a solution for a moving with constant velocity (with respect to distant staticobservers) Schwarzschild black hole. Coordinate and Lorentz invariant global conserved mass and momentumare constructed. The acceptable results are obtained in spite of the solution under consideration has no, at least,Killing vectors of space displacements. Calculations are quite analogous to calculating the mass and momentumof a moving matter ball in Minkowski space, and this analogy is used essentially.