Adapter (3) for attaching a container connector (10) to a connection socket (2) of a dialysis machine, the connector (10) being provided with two fluid lines connecting the inside and outside of the container whose ends open to the outside are concentric, the connection socket (2) of the dialysis machine being provided with two fluid lines whose open outward ends form holes (201, 202) that are not concentric and away from each other with a predefined distance, the adapter (3) and a first (301) and a second concentric adapter rib (302) being provided, the first forming a circular chamber open towards the outside at the bottom of which a first hole is made ( 304) while the second, placed around the first, forms an annular chamber open towards the outside at the bottom of which a second hole (305) is made, the adapter also being provided with a first ca connection end (306) in which the first hole (304) that comes from the first circular chamber and a second connection channel (307) isolated from the first into which the second hole (305) that comes from the first second annular chamber, each channel (306, 307) comprising a bead (308, 309) constituted of a circular tubing, characterized in that - the adapter is constituted of a base plate (303) from which the first (301) and the second rib of the adapter (302), the first hole (304) and the second hole (305) being made in said base plate (303), - the axes of the beams (308, 309) are parallel and the ends of the beams are arranged in the same plane perpendicular to the axes of the beams, and - the shafts of the beams are perpendicular to the axis of the concentric ribs (301, 302), - the said beams (308, 309) have compatible dimensions with those of the holes (201, 202) of the machine dialysis and are separated from each other with the same predefined distance as the two holes (201, 202) of the dialysis machine.Adaptador (3) para acoplar un conector (10) de recipiente a una toma de conexión (2) de una máquina de diálisis,