A mathematical model of gas-solids flow behavior of a concurrent down-flow fast fluidization bed was established on the basis of hydrodynamics study. Experimental data of bed pressure and pressure gradient under different operating conditions of four kinds of particles were correlated to give an equation of model parameter Cd: where AK=(1 + 2.78/m) × 14.1/Fr The physical quantities characterizing concurrent gas-solids downflow were predicted with the model and C correlation and compared with measured ones. The model was found effective in describing the hydrodynamics of concurrent gas-solids downflow.