The invention discloses a floating offshore wind turbine movement suppression device and a floating base with the same. The floating offshore wind turbine movement suppression device comprises at least one annular anti-rolling plate which surrounds the floating base and is horizontally arranged. A plurality of anti-rolling fins are arranged on the anti-rolling plate, and comprise a first group of anti-rolling fins which are arranged on one side of the anti-rolling plate; and the first group of anti-rolling fins are vertically spaced from one another around the floating base. The floating offshore wind turbine movement suppression device can effectively suppress the movement of a floating wind turbine, is low in cost and has a wide application prospect.