A rechargeable battery includes a housing having at least two cells and a cover which closes the housing. The cover includes a lower part which is coupled to the housing, an upper part which is arranged at a distance from the lower part and closes the lower part forming a seal, and labyrinth-like outlet channels provided between the lower part and the upper part for acid deposition. The lower part is cut through in the area of the upper part adjacent to the outlet channels. The cells in the cut-through areas are separated from one another in a liquid-tight manner by cell separating wall sections which are adjacent to the upper part, and which are closed by the upper part.