A connection device for connecting together electrically-conductive tubes, the device comprising a body (1) defining a channel (2) having two end segments, each arranged to receive an end of one of the tubes. Each end segment (3) is provided with an annular recess (5) provided with a flank (8) facing towards the inlet of said end segment (3). The device comprises at least one elastically deformable electrical conductor element (9) having ends bearing against said flanks (8) and an intermediate portion (13) extending into the channel (2) in order to provide electrical continuity between the two tube ends.