Computer simulations are used in many disciplines as a methodology of mimicking behaviors of a physical system or a process. In our study we have developed a real-time six degree- of-freedom (6DOF), computational model that can replicate the dynamics of a ram-air parachute system which is the design of parachute that is widely used by the militaries worldwide for parachute jumps. The proposed model is expected to be adapted in to a real-time visual simulator which would be used to train parachute jumpers. A statistical evaluation of the proposed model is done using a dataset taken from NASA ram-air parachute wind tunnel test.