Both very fine water mist fogs and oxygen depletion (via nitrogen dilution) have been suggested as possible methods of mitigating the overpressure rise should a hydrogen-air deflagration occur. A study has therefore been made to investigate the potential mitigating effect of very fine water mist fogs and oxygen reduction on the propagation of general hydrogen-oxygen-nitrogen flames. To do this a mathematical model was fitted to and used to estimate the burning velocity from a large number of pressure-time test data sets. These were obtained using a cylindrical explosion rig for both unmitigated and mitigated hydrogen-air deflagrations with nitrogen diluted (oxygen depleted) atmospheres and water fogs present. The experimental data examined covers both lean and rich hydrogen mixtures and a range of nitrogen dilution levels and water fog densities. The results suggest that the combination of high density water fog and nitrogen dilution can be extremely effective in reducing the estimated burning velocity especially for hydrogen rich H-2-O-2-N-2 mixtures with equivalence ratio >1 - even at relatively modest dilution levels where the oxygen index is reduced to 16%. Copyright (C) 2013, Hydrogen Energy Publications, LLC. Published by Elsevier Ltd. All rights reserved.