In this paper, kappa and Druyvesteyn distributions of electronic velocity are discussed for non-Maxwellian distribution. For accurate temperature and electron density diagnostics of Magnesium plasma, for the Magnesium VIII 2P01/22P01/2 to 2P03/22P03/2 transitions, we calculate kappa averaged collision strengths for κκ = 2, 3 and 5 and the Druyvesteyn averaged collision strengths for xx = 1.5, 2 and 3, for temperature between 5×1045×104 and 2.5×105 K2.5×105 K. Results indicate that the kappa averaged collision strengths are slightly larger than those for the Maxwellian distribution, and the Druyvesteyn averaged collision strengths are slightly smaller than those for the Maxwellian distribution, furthermore, the averaged collision strengths will be close to those for Maxwellian distribution with increasing κκ for the kappa distribution and with decreasing xx for the Druyvesteyn distribution. The excitation rate coefficients are also calculated for Maxwellian and non-Maxwellian distributions. This discussion will be significant in study of plasma for the non-Maxwellian distribution.