Аннотация:The possibility of stationary detonation combustion of hydrogen-air mixture coming into an axisymmetric convergent-divergent nozzle with a high supersonic velocity is investigated. Investigations are fulfilled on the base of Euler gas dynamics equations with detailed kinetics of combustion. Calculations are made use modified Godunov’method of raised accuracy. It is shown the reality of stable detonative combustion of hydrogen-air mixtures coming into the axisymmetric nozzle at Mach number from 7 to 9 at altitude up to 16 km.