Fe-Al series ferromagnetic damping alloy exhibits good vibration and noise absorbing ability due to the work done in moving and rotating its magnetic domain wall when the alloy is stressed within elastic region. Damping capacity of this alloy was known to be affected by several factors such as the impurities of the specimen, the external magnetic field and applied stress. The applied stress causes the structural inhomogeneity that inhibits the domain wall motion and damping behavior under external stress is neither simple nor straightforward. By designing the special tensile testing device, the effect of pre-strain on SDC(specific damping capacity) within elastic region was studied with aid of modified Bitter magnetic domain wall observation technique. From 0 to 60% level of the yield strain(0.2%), the microstructure did not show any domain wall pinning. The SDC_(max) value of specimen remains as high as the 47% SDC_(max). From 70 to 90% level of the yield strain, the sample showed the magnetic domain wall pinning. The SDC_(max) decreased to 32%. The result advises strongly that the designing safe guard for the Fe-Al damping alloy is around 60% level of the yield strain.