Solid-propellant motors are used in a variety of space systems. This type of motor requires a guidance system, and a thrust vector control to function properly. One of the most effective methods for thrust vector control can be achieved by utilizing a flexible joint system. The flexible joint is the most widely used device in advanced nozzle system, such as space shuttle boosters, Vega, and Ariane 5. This setup includes multiple layers of elastomers to provide the flexibility, and a few metallic or composite rings as the scaffold of the system. In this study, a nonlinear simulation of the flexible joint is investigated using finite element method. These results are verified by construction and hydrostatic test, and there is a good consistency between predictions and empirical data. To the best of our knowledge, contemporary architecture does not provide the optimum result. Therefore, we propose delicately designed configuration, which can be mentored in a variety of motors, to improve the functionality of the flexible joints. A detailed study on the alteration of geometric parameters has been done to unravel its effect on the behavior of the flexible joint.