The steady-state stagnation point transport and reaction equations describing premixed monopropellant combustion have been investigated approximating the chemical processes by an endothermic solid-phase pyrolysis and a one-step exothermic unidirectional gas-phase reaction. The solution giving essentially the burning rate dependence upon external parameters was obtained for the limiting cases of frozen and equilibrium flow in closed form. The general case was treated numerically. It is found that the burning rate in the whole range depends upon the velocity U and the temperature Te of the freestream flow. This dependence is particularly strong in the vicinity of the ignition and quench limits. For low flow velocities the burning rate becomes equal to the strand burning value. For high flow velocities the influence of the gas-phase reaction drops out. Then the burning rate is determined by the rate of the pyrolysis only. It may lie above or below the strand burning value. From these results steady-state ignition and quench limits can also be obtained. The numerical results have been obtained for ammonium perchlorate data. The conclusions drawn are valid, however, as long as the general physical model chosen applies.