Based on arbitrary Lagrange-Euler fluid-structure interaction method, the inflation process of a typical kind of vortex ring parachute in an infinite mass situation was simulated. The inflation process and the time-history changing curves of spinning rate and opening load were obtained, and the fluid-structure interaction characteristics at the steady stage, such as the change law of flow field around the canopy and the structural strength of the canopy fabrics, were analyzed. Results show that the stable spinning rate is about 3.1r/s and the canopy inflated shape is plump with the flow velocity of 12m/s, which are in good agreement with the tower test data. In steady state, there are a plenty of vortex cores above the parachute, and the ligature of the cores is similar to a spiral line. The drag coefficient of vortex ring parachute is greater than that of other typical parachutes with axial symmetry structure. The stress of the connected region of the canopy and the suspension lines and the canopy fringing field are obviously greater than the average stress of the canopy.