The invention concerns a connection system between batteries or banks of capacitors associated with a circuit, for example of the inverter type and whereof the capacitors are connected by a busbar consisting of two thin bars of different polarities stacked and separated by an insulating layer. Each busbar comprises at least one protuberance designed to co-operate with a linking member between two protuberances derived from two batteries or banks of adjacent capacitors. The linking member comprises two conductive strips designed to be contacted each with the bars of same polarity of two opposite protuberances, said strips being arranged on either side of an insulating layer. One of the protuberances or of each co-operating zone of the linking member with one protuberance comprises a clamp forming a slide enabling the other to be slidingly positioned perpendicular to the axis of the link. Clamping/releasing means enable the linking member to be fixed to each protuberance, said means being maintained as one single assembly upon release.