NLTE abundance corrections for 15 lines of Mg I in the MARCS model atmospheres. NLTE method was treated by Mashonkina (2013, A&A, 550, A28). Mg I + H I collisions following Barklem et al. (2012). Grid I was computed for Teff = 5000 to 6500~K, with a 250 K step, log g = 3.0 to 5.0, with a 0.5 step, [Fe/H] = -2.0, -2.5, -3.0, -4.0 and Teff = 5000, 5270, 5500 log g = 2.5 [Fe/H] = -2.0, -2.5, -3.0, -4.0, The data are available in Mg1_NLTE_corrections_5000-6500_g2.5-5.0.dat Grid II was computed for Teff = 4000 K to 5000~K, step 250 K, log g = 0.5 to 2.5, step 0.5, [Fe/H] = -2.0, -2.5, -3.0, -3.5, -4.0. The data are available in Mg1_NLTE_corrections_4000-5000_g0.5-2.5.dat Both files have similar structure and include the NLTE equivalent widths (mA, 1st string for each metallicity) and abundance corrections (NLTE - LTE, dex, 2nd string). The NLTE corrections are not provided for lines with EW(LTE) < 3 mA. When using some of these data in your research, cite please Mashonkina (2013, A&A, 550, A28) and http://www.inasan.ru/~lima/pristine