Aim at the non-linear flexible deformation characteristics of parachute, finite element analytical approach is integrated to realize the complicated time varying motion mathematical model of the parachute and implement simulation. Firstly, particle system is utilized to construct the three-dimensional geometrical model of the parachute. Then, on the basis of considering the internal force & internal air flow movement of canopy, the dynamics model during inflation process is built in the form of mass particles. Finally, through simulation calculation, the results are basically consistent with the wind tunnel test including parachute shape movement change, projection diameter change and dynamic load change rules, which the model is deemed effective and correct. The method is suitable for being applied in the engineering design of the parachute.