The invention concerns a connection system between batteries or banks of capacitors (4) associated with a circuit, for example of the inverter type and whereof the capacitors (4) are connected by a busbar (5) consisting of two thin bars of different polarities stacked and separated by an insulating layer. Each busbar (5) comprises at least one protuberance (6, 6') designed to co-operate with a linking member (C, C') between two protuberances (6, 6') derived from two batteries or banks of adjacent capacitors (4). The linking member comprises two conductive strips (9, 10; 9', 10') designed to be contacted each with the bars of same polarity of two opposite protuberances (6, 6'), said strips (9, 10; 9', 10') being arranged on either side of an insulating layer (7, 7'). One of the protuberances (6, 6') or of each co-operating zone of the linking member (C, C') with one protuberance (6, 6') comprises a clamp forming a slide enabling the other to be slidingly positioned perpendicular to the axis of the link. Clamping/releasing means (12, 13, 14) enable the linking member (C, C') to be fixed to each protuberance (6, 6'), said means being maintained as one single assembly upon release.