The newly generated offshore Triceratops is more suitable for deep and ultra-deep-water depths by their novel geometric configuration. Introducing ball joints between the deck and buoyant legs makes the Triceratops a more novel geometric configuration from other newly generated offshore compliant platforms. It exhibits better motion characteristics in waves. However, a detailed evaluation of their performance under tendon failure conditions is vital and needed under harsh environmental conditions. In the present study, Triceratops with circular and elliptical buoyant legs under regular and irregular waves were analyzed in the central region of the Gulf of Mexico for deep and ultra-deep waters. The response amplitude operators of the deck and buoyant legs were compared under intact, and tendon failure conditions and fatigue life of the tendons under both conditions were calculated. At present, the response amplitude operators under regular waves are calculated under intact and damaged tendons. It is seen that the pitch and heave responses of the deck are significantly less as compared to buoyant legs in all loading conditions. Further noticed that the surge responses of the deck in intact and damaged conditions are almost similar and that the fatigue life of tendons under tendon damaged conditions was significantly reduced.