Damping behavior of Mn, Co, Ni) in the wide strain amplitude range was examined and the damping mechanism was discussed. In Fe-Al binary single crystals, magneto-mechanical damping caused by irreversible motion of magnetic domain walls took place at low strain amplitudes. On the other hand, pseudoelasticity based on reversible motion of 1/4 ͗111͘ superpartial dislocations appeared in Fe-23.0at%Al single crystals which also contributed to the high damping capacity at high strain amplitudes. The effect of Cr, Mn, Co and Ni on the vibration attenuation of Fe-23.0at%Al crystals was also examined. As a result, Ni doping was found to be effective in the increase in both internal friction and yield strength of Fe-Al alloys.