A bipolar Li-ion battery, including: - at least a first and second electrochemical cells (C1, C2) stacked one on top of the other and each comprising an anode, a cathode and an electrolyte, - at least one bipolar current collector one face of which is covered by the anode made of lithium insertion material of the first cell (C I) and the opposite face is covered by the cathode made of lithium insertion material of the second cell, the bipolar collector comprising at the periphery thereof, on each of the faces thereof, at least one bead of an electrically insulating material forming a peripheral zone of a wall impermeable to the electrolyte of the first or second cells, surrounding same, - at least one first current collector adjacent to the bipolar collector one face of which is covered by the cathode of the first cell; the first adjacent collector also comprising at the periphery thereof, at least one bead of an electrically insulating material also forming a peripheral zone of the wall impermeable to the electrolyte of the first cell, - at least one second current collector adjacent to the bipolar collector one face of which is covered by the anode of the second cell; the second adjacent collector also comprising at the periphery thereof, at least one bead of an electrically insulating material also forming a peripheral zone of the wall impermeable to the electrolyte of the second cell, in which each impermeable wall consists of at least one bead formed from a honeycomb matrix covered, on each of its two main faces, with a layer or sheet (25a, 25b) made of a heat-sealing and electrically insulating material, each layer or sheet being heat sealed to one of the current collectors, the heat-sealing and electrically insulating material at least partially filling the alveoli of the honeycomb in such a way that the two layers or sheets (25a, 25b) join together. - at least a first and second electrochemical cells (C1, C2) stacked one on top of the other and each comprising an anode, a cathode and an electrolyte, - at least one bipolar current collector one face of which is covered by the anode made of lithium insertion material of the first cell (C I) and the opposite face is covered by the cathode made of lithium insertion material of the second cell, the bipolar collector comprising at the periphery thereof, on each of the faces thereof, at least one bead of an electrically insulating material forming a peripheral zone of a wall impermeable to the electrolyte of the first or second cells, surrounding same, - at least one first current collector adjacent to the bipolar collector one face of which is covered by the cathode of the first cell; the first adjacent collector also comprising at the periphery thereof, at least one bead of an electrically insulating material also forming a peripheral zone of the wall impermeable to the electrolyte of the first cell, - at least one second current collector adjacent to the bipolar collector one face of which is covered by the anode of the second cell; the second adjacent collector also comprising at the periphery thereof, at least one bead of an electrically insulating material also forming a peripheral zone of the wall impermeable to the electrolyte of the second cell,