A bipolar battery, of the Li-ion type, comprising: - at least one first and second electrochemical cells (C1, C2) stacked on top of one other and each comprising an anode, a cathode and an electrolyte; - at least one bipolar current collector, one face of which is covered with the anode of lithium-based insertion material of the first cell and the opposite face is covered with the cathode of lithium-based insertion material of the second cell, the bipolar collector comprising at its periphery, on one of its faces, at least one first sealing device comprising a frame of an electrically insulating heat-sensitive material, and two frames of adhesive arranged individually on either side of the heat-sensitive frame in a radial direction, perpendicular to the direction of stacking of the cells, the first device constituting a peripheral wall impervious to the electrolyte of the first or second cell, which surrounds the latter; - at least one first current collector adjacent to the bipolar collector, one face of which is covered with the cathode of the first cell; - at least one second current collector adjacent to the bipolar collector, one face of which is covered with the anode of the second cell; - the first or second adjacent collector also comprising, at its periphery, on its covered face, at least one second sealing device comprising a frame of an electrically insulating heat-sensitive material, and two frames of adhesive arranged individually on either side of the heat-sensitive frame in a radial direction, perpendicular to the direction of stacking of the cells, the second device constituting a peripheral wall impervious to the electrolyte of the first or second cell, which surrounds the latter; each impervious peripheral wall being obtained by a heat-sealing technique of at least one first and at least one second sealing device (23, 24) on the face of a current collector that does not have a sealing device. - at least one first and second electrochemical cells (C1, C2) stacked on top of one other and each comprising an anode, a cathode and an electrolyte; - at least one bipolar current collector, one face of which is covered with the anode of lithium-based insertion material of the first cell and the opposite face is covered with the cathode of lithium-based insertion material of the second cell, the bipolar collector comprising at its periphery, on one of its faces, at least one first sealing device comprising a frame of an electrically insulating heat-sensitive material, and two frames of adhesive arranged individually on either side of the heat-sensitive frame in a radial direction, perpendicular to the direction of stacking of the cells, the first device constituting a peripheral wall impervious to the electrolyte of the first or second cell, which surrounds the latter; - at least one first current collector adjacent to the bipolar collector, one face of which is covered with the cathode of the first cell; - at least one second current collector adjacent to the bipolar collector, one face of which is covered with the anode of the second cell; - the first or second adjacent collector also comprising, at its periphery, on its covered face, at least one second sealing device comprising a frame of an electrically insulating heat-sensitive material, and two frames of adhesive arranged individually on either side of the heat-sensitive frame in a radial direction, perpendicular to the direction of stacking of the cells, the second device constituting a peripheral wall impervious to the electrolyte of the first or second cell, which surrounds the latter;