This study investigated the stability of offshore wind farm (OWF) and marine current farm (MCF) using hybrid combination of superconducting magnetic energy storage system (SMES) and bridge type fault current limiter (BFCL). The aggregated model of OWF is simulated by 80 MW doubly-fed induction generator (DFIG) based plant and MCF is simulated by a 80 MW squirrel cage induction generator (SCIG) based generator. An H-infinity loop-shaping-based robust controller is proposed for the SMES unit to enhance the stability and robustness of the studied system. The performance of the proposed damping controller is evaluated under high stochastic disturbances and transient condition. The simulation result shows the efficacy of the proposed controller. Hence, it enhanced the stability and robustness of the studied system.