To simplify the calculation of ignition characteristic parameters of solid propellant under laser action, the laser ignition process for solid propellant was divided into three steps, the thermal decomposition, boundary layer gas mixing and rapid chemical reaction by analyzing on the mechanics of laser ignition for solid phase reaction model. The prediction model for ignition delay time and ignition temperature of laser ignition was built, and a laser ignition process of HMX monopropellant was calculated under laser incident intensity of 45, 76, 170 W·cm^-2. The differences of delay time and temperature of ignition between phase-ignition model and prediction model are 3.8%, 8.1%, 11.5% and 1.23%, 0.87%, 0.98%, respectively, which demonstrating that this method is simple and could be used in engineering application.