An offshore power station includes a wind turbine, a water desalination unit and an electrolysis apparatus for producing hydrogen. The water desalination unit are connected to an inlet of salted water, the electrolysis apparatus being connected to the water desalination unit for receiving a supply of desalinated water. The electrolysis apparatus and the water desalination unit are thermally connected to one another in such a way that a heat power input from the electrolysis apparatus is provided to the water desalination unit for the production of the supply of desalinated water and a cooling power input from the water desalination unit is provided to the electrolysis apparatus.