This paper focuses on motion analysis of a coupled unmanned surface vehicle (USV)-umbilical cable (UC)-unmanned underwater vehicle (UUV) system to investigate the interaction behavior between the vehicles and the UC in the ocean environment. For this, a new dynamic modeling method for investigating a multi-body dynamics system of this coupling system is employed. Firstly, the structure and hardware composition of the proposed system are presented. The USV and UUV are modeled as rigid-body vehicles, and the flexible UC is discretized using the catenary equation. In order to solve the nonlinear coupled dynamics of the vehicles and flexible UC, the fourth-order Runge-Kutta numerical method is implemented. In modeling the flexible UC dynamics, the shooting method is applied to solve a two-point boundary value problem of the catenary equation. The interaction between the UC and the USV-UUV system is investigated through numerical simulations in the time domain. Through the computer simulation, the behavior of the coupled USV-UC-UUV system is analyzed for three situations which can occur. In particular, variation of the UC forces and moments at the tow points and the configuration of the UC in the water are investigated. , oceanography, military use, and in the oil and gas industry, and the autonomy of such vehicles is increasing rapidly [1][2][3][4][5]. A basic and highly applicable task for such marine vessels, both surface and underwater, is to follow a general path to perform some mission.The major mission of an underwater vehicle system is to collect information from the underwater environment and send it back to the control center via sensors, for which reliable data transmission is required. Currently, the reliability of sensors is one of the most important challenges for worldwide research and is a new research trend in many application areas. Castaño et al. [6] mentioned that the reliability of sensors and remote sensing systems is a key enabling step toward the massive utilization of sensor networks in all application fields from manufacturing up to maritime and aeronautic applications. Many methods with different properties and considerations for sensor system reliability such as Bayesian approaches, fuzzy set theory, Dempster-Shafer evidence theory, and gray group decision-making were recently studied to address the reliability of sensors using artificial intelligence. However, with the current technology available, underwater communication is an important challenge in the field. Generally speaking, acoustic wave, blue light, and tether cable are three main kinds of approaches applied for underwater communication. In particular, in order to have a real-time and reliable underwater communication over such a distance, using a tether cable could be a better solution for the real-time surveillance mission of an autonomous underwater vehicle (AUV) [7][8][9]. However, the motion of a long flexible cable in water is very complex, in addition to the non-linear dynamic motion of the unmanned surface vehicle (USV) an...