In order to study the ignition process of powered initiators and provide theoretical base for the design of powered pyrotechnics, a mathematical model describing the ignition process was founded by numerical simulation method on the basis of thermal ignition theory.The interior temperature distributions nearby the main charge surface in condition of different ignition source temperature were obtained by means of numerical integral.The following results from distribution curves were obtained:when the ignition source temperature is from 2000 K to 3600 K, the ignition distance depart from main charge surface is from 462.8 μm to 112.4 μm.The ignition delayed time shortens from 8222 μs to 264 μs, indicating that the ignition delayed time shortens when the ignition source temperature increases.When the ignition source temperature goes to 2800 K, the trend of ignition delayed time shortening becomes flat.