Pyrotechnic mixtures commonly present fast combustible and even detonable reaction. The process of the reaction produces huge heat and gases, featuring the origin of explosion. Therefore, in the practical situations, some catastrophic disasters usually occur in the storage houses and production factories related to those materials. For the safety consideration, the assessment on the explosive performance of pyrotechnic mixtures becomes necessary. In the paper, the pressure, temperature, and amount of gases from reaction of pyrotechnic compositions are obtained by establishing an analytic procedure based on the minimum Gibbs free energy principle. The results provide an initial condition for the hydrodynamic computation on the blast effects coming from explosion of some specific accidents.