A final inflation model for parachutes was established. The forebody, suspension lines and canopy were modeled as a series of elastically connected mass nodes. The flow field inside the canopy was two-dimensional inviscid, incompressible flow. The model was used to calculate the variations of the canopy shape, the variations of canopy projection area and the tension of the suspension line during the final inflation phase. Numerical results were compared with the experimental data and found to be in agreement.