To predict the influence of aluminum contents particle size <20 ?m on the shock initiation and growth of reaction in an aluminized explosive CL-20/AL/Binder, 85/15/5, a new numerical model is utilized. The model is based on the elastic-visco-plastic double hollow sphere pore collapse model DZK model. In the new model, the aluminum powder combustion is assumed to partly occur during the hot-spot formation. By combining the new term of the hot-spot ignition and the reaction growth term at low pressure and high pressure in the DZK model, a new expression of reaction rate has been implemented in a hydrodynamic code LS-DYNA as a user-defined equation-of-state. For verification, the new model has been used to simulate the shock initiation of the aluminized explosive. The numerical results show that 4% of aluminum in this explosive reacts at the stage of hot-spot formation. The model can describe the shock-to-detonation transition process of aluminized explosive while considering the influence of the aluminum contents.