Abstract: The system for interconnecting pairs of aligned axial conductors of cells housed in enclosures (3, 3′) equipped with bushings (1, 1′) is made up of modules each consisting of an interconnection device (8) and an electrical insulation structure positioned around the interconnection device. The electrical insulation structure is a flexible insulative sleeve (12) of elastically adaptable length whose flat annular ends are pressed by removable clamps (13, 13′) against the bushings (1, 1′) through which the conductors of the connection device pass.