In recent years, haptic communication with teleoperation systems has been actively researched. One of the effective methods for haptic communication is bilateral motion control based on acceleration control. If the acceleration-based bilateral control is applied to a parallel multi-degrees-of-freedom (MDOF) system, complicated haptic human motion can be realized in the remote site. However it is difficult to understand whole motion of the system based only on information of each actuator. One of the effective methods for the motion recognition is modal decomposition based on Discrete Fourier series expansion (DFS). This modal decomposition is effective for the analysis of motion of parallel MDOF systems. However, in order to apply the modal decomposition, it is necessary that an arrangement of the parallel MDOF system is known. This paper proposes an arrangement identification method for parallel MDOF teleoperation systems based on Levenberg-Marquardt (LM) method. The method can estimate the arrangement, even if there is no visual information. Finally, the validity of the proposed method is confirmed by the experimental results.