A method of fabricating a hydrodynamic appendage for a ship, the method including the steps of: forming two metal half-shells having outside surfaces that form the flanks of a hydrodynamically-active portion of the appendage; forming a metal head including a mechanism for securing the appendage to the ship; and assembling together the half-shells and the head so that the head is sandwiched between the top ends of the two half-shells and closes a top portion of an internal volume defined by the half-shells. The half-shells are welded to the head so as to make the internal volume watertight.