The ship hull vibration has a great impact on the performance, safety of the devices, structures, and the sailor's comfort when working on the ship. With increases in ship sizes and speeds, shipboard vibration becomes a significant concern in the design and construction of ships. Therefore, designing a ship without any excessive vibration is an important issue and should be studied through analysis right in the design phase. To ensure minimum vibration in a proposed new design; avoid damage to structures, machinery or equipment (mechanically suitable); meeting the requirements of the crew's living environment and working conditions. The ship's natural vibrations are determined to right from the design stage, which will help ship designers and structures avoid dangerous resonance areas. In this study, a three-dimensional finite element model representing the entire ship hull, including the deckhouse and machinery propulsion system, has been developed using numerical modelling implemented in Patran-Nastran software for local and global vibration analyses of the container ship 2000 TEU. Vibration analyses have been conducted under two conditions: free– free (dry) and in-water (wet). The wet analysis has been implemented using Mfluid elements in Nastran software. Because of the global ship free vibration analysis, global natural frequencies and mode shapes have been determined. Combined with the frequency of the main engine and the propeller, the resonant regions with higher frequencies are determined by the resonant graph of the hull. The application of the finite element method for ship vibration analysis shows the optimal of numerical modelling method compared to other traditional methods. This will help other technical problems to be solved with the support of the finite element method.