Abstract: A formula was constituted to describe the process of stress wave propagation in concrete. Numerical simulations were carried out to analyze the process of stress wave propagation in concrete under blast loading. JH model was adopted in the simulations to describe the constitutive activity of concrete. The reliability of numerical simulations was verified by experimental measured data. It is shown from the numerical simulations that the peak value of the stress wave will attenuate sharply as the wave propagate in the concrete structure. Both material dissipation and geometric dispersion lead to the attenuation. When the peak value is less than the compressive strength of concrete, geometric dispersion is the main cause to attenuation. The formula can describe the process of stress wave propagation in the concrete properly. The attenuation coefficient of the concrete studied in the article is 0.095 13.