An off-shore wind turbine with a base supporting a pylon and a wind engine, the wind turbine being characterized in that the said base includes a tubular cavity, a bottom portion of said pylon being fixed in embedded manner inside said tubular cavity using a device that enables the angle of inclination of the axis (ZZ′) of the pylon to be adjusted relative to the axis (Z1Z′1) of the tubular cavity; and the adjustment device includes independent chocking mechanism interposed between the pylon bottom portion and the tubular cavity; and a centering mechanism secured to the pylon bottom portion and/or to the tubular cavity, the centering mechanism being situated inside the tubular cavity below at least some of the chocking mechanism and suitable for holding the point of intersection of the axis (ZZ′) of the pylon bottom portion with the axis (Z1Z′1) of the tubular cavity in a fixed position.