Leaktight box for alkaline electrolyte battery, comprising an assembly of metal plates, where: a first and a second plate overlap in a zone of overlap and are assembled with rivets each comprising a head, a stem and a bulb; the stem of the rivets is deformed in such a way as to occupy in a leaktight manner substantially all of the volume of said holes of the first and second plates; preferably an elastomer seal comprising a material chosen from among a butyl rubber, an ethylene-propylene-diene terpolymer and a nitrile rubber, where said seal is disposed in continuity with the overlap zone in continuous contact with the first and the second plate in such a way as to complete the leaktightness of the box.