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The current braking system of a vehicle includes a parking braking system, which consists of a Motor on Caliper (MOC) that generates hydraulic main braking and electric parking braking through a caliper structure. When designing the MOC braking system, it is important to consider an analytical model that can predict the performance of the parking clamping force and the torque generated between the disk and caliper interactions. However, in previous designs, system predictions were often based on simplified structural calculations or incomplete Finite Element Method (FEM) analysis. In this paper, a study was conducted to predict the system performance using Multi-flexible Body Dynamics (MFBD) analysis. Firstly, a kinematic model (MBD) was developed for the Electric Parking Brake (EPB) system currently used in mass-produced vehicles. And the MBD model which based on kinematics was the initial model for this study.