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This paper investigates the network-based modeling and event-triggered H ∞ reliable control for an offshore structure. First, a network-based model of the offshore structure subject to external wave force and actuator faults is presented. Second, an event-triggering mechanism is proposed such that during the control implementation, only requisite sampled-data is transmitted over networks. Third, an event-triggered H ∞ reliable control problem for the offshore structure is solved by employing the Lyapunov–Krasovskii functional approach, and the desired controller can be derived. It is shown through simulation results that for possible actuator failures, the networked controller is capable of guaranteeing the stability of the offshore structure. In addition, compared with the H ∞ control scheme without network settings, the proposed controller can suppress the vibration of the offshore structure to almost the same level as the H ∞ controller, while the former requires less control cost. Furthermore, under the network-based controller, the communication resources can be saved significantly. [ABSTRACT FROM AUTHOR]