Parachute systems are now being widely used, such as in airdrops, escape-ejections, spacecraft recovery, delivery of essential supplies, etc. In the context of human space flight missions, they become essential and an unavoidable requirement, thus making their simulations even more important and challenging. Most parachute models utilize the Newton–Euler formulation for parachute dynamics. This method becomes hard to generalize and implement for complex systems like parachute clusters. On the other hand, the use of the Lagrangian method requires the differentiation of the Lagrangian making it laborious and cumbersome. Kane’s method is a generic method of deriving the governing equations of a multi-body dynamical system. This paper discusses the modeling of a parachute system using the matrix formulation of Kane’s method. The model is capable of simulating the complete timeline of parachute dynamics from deployment to separation and has been extensively used in NGC system validation of test flights of human space mission.