The global responses of an innovative deep draft platform are investigated using catenary, semi-taut, and taut mooring models, respectively. The three mooring systems have the same arrangements and similar static restoring force characteristics. The dynamic coupling effects between the platform and the mooring systems are calculated in the time domain. Free-decay and 3-h simulations are conducted under 1-year and 100-year return period environmental conditions in the South China Sea. The mooring damping contributions, the response characteristics, and the mooring line tensions are investigated.