With the increasing installed capacity of offshore wind power in China, coastal areas with developed economy and large power load increasingly rely on and pay attention to the safe operation of offshore wind power. The problem of friendly access to offshore wind farms becomes particularly prominent in the context of declining capacity of conventional thermal units in the system and low system inertia. Especially during typhoons, offshore wind farms may be quickly disconnected from the power grid before reaching the cut-off wind speed, resulting in a large power deficit in the main network, worsening voltage frequency and other adverse effects. In order to solve the problems of large disturbance caused by wind power inherent fluctuation and typhoon, a grid-connected operation control method of offshore wind farm with hybrid electric hydrogen energy storage is proposed. During the normal operation of offshore wind farms, the method effectively smooth out the fluctuation of wind power during the normal operation of offshore wind farms by rationally arranging energy storage and charging/discharging. While during the transit of typhoons, the method alleviates the sudden drop in offshore wind power output and reduces the adverse impact on the grid at the affected end by rational use of hybrid electric hydrogen energy storage. The validity of the proposed method is verified by simulating the real data of an offshore wind farm in Guangdong.