This paper discusses about the difference of damage degree calculated by Miner’s rule and by energy evaluation method. The dynamic loading tests for the buckling restrained brace is carried out by exchanging the input order of large and small amplitudes considered to be the cause of the dispersion. As a result, it is confirmed that the damage degree calculated by energy evaluation method is estimated to be small by about 15% when receiving large deformation first. Furthermore, It is found that the damage degree by the average amplitude method using the cumulative average strain amplitude is evaluated to be small compared with the case using the logarithmic mean strain amplitude.