The statement of the problem and algorithm of computational modeling of the processes of formationof the hydrogen-air mixture in the atmosphere, its explosion (taking into account chemical interaction)and dispersion of the combustion materials in the open space with complex relief are presented. Thefinite-difference scheme was developed for the case of the three-dimensional system of gas dynamicsequations complemented by the mass conservation laws of the gas admixture and combustionmaterials. The algorithm of the computation of thermal and physical parameters of the gas mixtureappearing as a result of the instantaneous explosion taking into account chemical interaction wasdeveloped. The algorithm of computational solution of the difference scheme obtained on the basis ofGodunov method was considered. The verification of the mathematical model showed its acceptableaccuracy in comparison with known experimental data. It allows using the developed model for themodeling of pressure and thermal consequences of possible failures at the industrial enterprises whichstore and use hydrogen. The computational modeling of an explosion of the gas hydrogen cloudappearing as a result of instantaneous destruction of high pressure containers at the fueling station wascarried out. The analysis of different ways of protection of the surrounding buildings from destructiveeffects of the shock wave was conducted. The recommendations considering the choice of dimensionsof the protection area around the fuelling station were worked out.