Abstract: A connector ensure the wired connection of a piece of equipment in series with a multiconductor cable for transmitting low currents.A support block (5) has a plate on which through and closed end grooves are formed respectively for the passage of the wires of the cable (2) and wires (3A, 3A') for connecting equipment in series. The closed end grooves be adjacent one of the through grooves, at the level of a connection piece (6) partially housed in these two grooves for interconnecting wires. Each of the through grooves (20A) is provided with a median cavity (21) which interrupts the grove locally and which receives a wire cutting device means (6C). The two connection pieces housed in the same through groove are situated on each side of the cavity (21) and each allows the connection of a second different wire (3A, 3A').