In this article four samples of HgBa2Ca2Cu2.4Ag0.6O8+δ were prepared and irradiated with different doses of gamma radiation 6, 8 and 10 Mrad. The effects of gamma irradiation on structure of HgBa2Ca2Cu2.4Ag0.6O8+δ samples were characterized using X-ray diffraction. It was concluded that there effect on structure by gamma irradiation. Scherrer, crystallization, and Williamson equations were applied based on the X-ray diffraction diagram and for all gamma doses, to calculate crystal size, strain, and degree of crystallinity. It is observed through the results that gamma irradiation causes a change in the atomic density, crystal size, strain, degree of crystallinity and thus a change in the diffraction angle and intensity peaks. It was found that the highest crystal size was 69.3269 nm at 4MRad dose, crystallization is 69.3269 at 4MRad and the strain is 0.0068 when sample without radiation.