The mass attenuation coefficients of blue sapphire were measured at the different energy of γ-rays using the Compton scattering technique. There are in good agreement of scattered gamma rays energies between theoretical value and experimental value, reflecting the validation of Compton scattering system setup. The results show that, the experimental values of mass attenuation coefficient are in good agreement with the theoretical values. The mass attenuation coefficients increase with the decrease in gamma rays energies. This may be attributed to the higher photon interaction probability of blue sapphire at lower energy. This result is a first report of mass attenuation coefficient of blue sapphire at different gamma rays energies.