A catalog of the stellar atmosphere parameters of cool dwarfs in Gaia DR3, which is based on multi-band photometry from optical to infrared. The two files of .csv and .mrt  are both submitted in this version and they contain the same contents. The information of CSV file is as follows: row number: 1,806,921. columns number: 24. columns names: column 1. 'source_id': (Gaia DR3 source_id). columns 2-3. 'RAdeg', 'DEdeg': (Right Ascension and Declination, decimal degrees). columns 4-11. ‘Mrmag', 'Mimag', 'Mzmag', 'MJmag', 'MHmag', 'MKsmag', 'MW1mag', 'MW2mag': (Absolute magnitude in multi bands). columns 12-17. 'Teff-RF', 'e_Teff-RF', '[M/H]-RF', 'e_[M/H]-RF', 'logg-RF', 'e_logg-RF': (parameters and errors by Random Forest algorithm). columns18-23. 'Teff-LGB', 'e_Teff-LGB', '[M/H]-LGB', 'e_[M/H]-LGB', 'logg-LGB', 'e_logg-LGB': (parameters and errors by LightGBM algorithm ). column 24. 'flag': (the boundary of BP - RP = 2.9 mag, flag = 1 while BP - RP > 2.9, otherwise flag = 0). The two tools in this paper are Random Forest (RF) and LightGBM, both of which are machine-learning algorithms based on decision trees.