The invention relates to an electrically and thermally connecting device (3) for batteries and pieces of electrical distribution equipment of an aircraft, comprising a casing (5) containing a plurality of bare under-voltage parts (7), said connecting device (3) being intended to make contact with a portion of the casing (5) and at least one bare under-voltage part (7), said connecting device (3) furthermore comprising: at least one base (11) that is made from a thermally conductive material and that is intended to be fastened to the portion of the casing (5); at least one head (13) that comprises a springback connector and that is intended to make contact with the bare under-voltage parts (7) and the portion of the casing (5); and an intermediate element (15) that is intended to electrically connect the bare parts (7), said element (15) being clamped between a base (11) and a head (13). The invention also relates to a battery and to a piece of electrical distribution equipment for an aircraft.