Exhausts of airship fabric bag in the stratosphere such as hydrogen which can be used for fuels by using catalytic combustion method. This can save the extra fuels used in the power system. Pd/γ- Al2O3 catalyst was prepared in this work by impregnation method and the H2 catalytic combustion reaction kinetic was investigated between the pressure of 3.6 kPa and 101.3 kPa. The effects of temperature, pressure and gas composition ratio were studied in the paper. According to the experiment results, the increase of temperature increases the H2 conversion. The parameter pressure has a positive effect on H2 reaction kinetics and low concentration of H2 in mixtures shows better performance. The dependence of temperature on H2 reaction rate becomes more sensitive in high pressure.