We use the Moller energy-momentum complex both in general relativity and teleparallel gravity to evaluate energy distribution (due to matter plus fields including gravity) in the dyadosphere region for Reissner-Nordstrom black hole. We found the same and acceptable energy distribution in these different approaches of the Moller energy-momentum complex. Our teleparallel. gravitational result is also independent of the teleparallel dimensionless coupling constant, which means that it is valid in any teleparallel model. This paper sustains (a) the importance of the energy-momentum definitions in the evaluation of the energy distribution of a given space-time and (b) the viewpoint of Lessner that the Moller energy-momentum complex is a powerful concept for energy and momentum.