This paper describes hydrogen self-ignition as a result of the formation of a shock wave in front of ahigh-pressure hydrogen gas propagating in the tube and the semi-confined space, for which thenumerical and experimental investigation was done. An increase in the temperature behind the shockwave leads to the ignition on the contact surface of the mixture of combustible gas with air. Therequired condition of combustible self-ignition is to maintain the high temperature in the mixture for atime long enough for inflammation to take place. Experimental technique was based on a high-pressure chamber inflating with hydrogen, burst disk failure and pressurized hydrogen discharge intotube of round or rectangular cross section filled with air. A physicochemical model involving the gas-dynamic transport of a viscous gas, the detailed kinetics of hydrogen oxidation, k-? differentialturbulence model, and the heat exchange was used for calculations of the self-ignition of high-pressurehydrogen. The results of our experiments and model calculations show that self-ignition in the emittedjet takes place. The stable development of self-ignition naturally depends on the orifice size and thepressure in the vessel, a decrease in which leads to the collapse of the ignition process. The criticalconditions are obtained.