Аннотация:We study the energy–momentum characteristicsof the plane “+”-polarized gravitationalwave solution of generalrelativity in the teleparallel equivalent of general relativity(TEGR) and the symmetric teleparallel equivalent ofgeneral relativity (STEGR) using the previously constructedNoether currents. The current components describe energy–momentum locally measured by an observer if the displacementvector ξ is equal to the observer’s 4-velocity. To determinethe non-dynamical connection in these theories, we usethe unified “turning off” gravity principle. For a constructiveanalysis of the values of Noether currents and superpotentialsin TEGR and STEGR, we use the concept of “gauges”.The gauge changing can affect the Noether current values.We study under what conditions the Noether current for thefreely falling observer is zero. When they are established,the zero result can be interpreted as a correspondence to theequivalence principle, and it is a novelty for gravitationalwaves in the TEGR and STEGR. We highlight two importantcases with positive and zero energy, which reproducethe results of previous works with a different approach fordetermining gravitational energy–momentum in the TEGR,and give their interpretation.