A laser-induced ignition model of RDX is developed, in which a detailed chemical kinetics scheme, containing 45 species and 231 reactions, is employed to describe the reaction in the gas phase. The model is spatially one-dimensional and includes the transient development of two regions: the condensed phase and the gas phase. The condensed phase is composed of solid RDX, liquid RDX, and some decomposition products. The main physicochemical processes include melting, decomposation, vaporization, and radiation absorption. The gas phase is composed of RDX vapor and reaction products and the main processes include convection, diffusion, heat conduction, chemical reaction, and radiation absorption. With interfacial boundary conditions, the governing parameters for the condensed phase are conservation equations of energy and species concentration, whereas those for the gas phase are the conservation equations of mass, momentum, energy, and species concentration. A finite difference program using FORTRAN is compiled and numerical simulation is carried out. The ignition process of RDX is discussed from the distribution and evolution of temperature and species concentration. The model can provide a reasonable prediction of the phenomenon that the flame moves towards the surface immediately after ignition, and then departed from the surface.