A system for transfer of a fluid between a ship and a facility comprising: - a mast comprising a proximal end which is designed to be secured on a platform of the ship, and a distal end; - at least one fluid transfer line (3, 4, 5) which extends along the mast; and - at least one duct (7, 8, 9) suspended on the distal end of the mast, which is firstly connected to the fluid transfer line (3, 4, 5), and secondly equipped with a connection element which is designed to cooperate with a manifold of the installation; the system being characterized in that the duct (7, 8, 9) comprises: - a first, rigid portion and a second, flexible portion, which extend successively from the fluid transfer line (3, 4, 5) to the connection element; and - a rigidification element (16, 18) which is fitted such as to be mobile along the duct (7, 8, 9), between an elongate portion for rigidification of the flexible portion, in which the rigidification element (16, 18) extends along the flexible portion, and a retracted position of release, in which the rigidification element (16, 18) extends along the rigid portion, the rigidification element (16, 18) comprising a support which can slide relative to the flexible portion, along the flexible portion, the support cooperating with a distal end of the flexible portion in the elongate position of the rigidification element (16, 18), in order to align the flexible portion in the extension of the rigid portion, and the support cooperating with an area of the duct (7, 8, 9), situated between the distal area of the flexible portion and the distal end of the mast, in the retracted position of release of the rigidification element (16, 18), such as to release said support along a free length of the flexible portion, in order to permit flexion of the flexible portion along the free length. - a mast comprising a proximal end which is designed to be secured on a platform of the ship, and a distal end; - at least one fluid transfer line (3, 4, 5) which extends along the mast; and - at least one duct (7, 8, 9) suspended on the distal end of the mast, which is firstly connected to the fluid transfer line (3, 4, 5), and secondly equipped with a connection element which is designed to cooperate with a manifold of the installation; - a first, rigid portion and a second, flexible portion, which extend successively from the fluid transfer line (3, 4, 5) to the connection element; and - a rigidification element (16, 18) which is fitted such as to be mobile along the duct (7, 8, 9), between an elongate portion for rigidification of the flexible portion, in which the rigidification element (16, 18) extends along the flexible portion, and a retracted position of release, in which the rigidification element (16, 18) extends along the rigid portion, the rigidification element (16, 18) comprising a support which can slide relative to the flexible portion, along the flexible portion, the support cooperating with a distal end of the flexible portion in the elongate position of the rigidification element (16, 18), in order to align the flexible portion in the extension of the rigid portion, and the support cooperating with an area of the duct (7, 8, 9), situated between the distal area of the flexible portion and the distal end of the mast, in the retracted position of release of the rigidification element (16, 18), such as to release said support along a free length of the flexible portion, in order to permit flexion of the flexible portion along the free length.