The invention relates to an electrical connection device (2) suitable for being connected to an electrical apparatus (1) furnished with one or more screw or elastic electrical terminals (10). The device comprises one or more connectors (20, 21) each designed to be connected directly to one of the one or more electrical connection terminals, and each connector (20, 21) comprises a permanent magnet (200, 210) designed to be magnetized on the said electrical terminal (10) when the connector (20, 21) is brought near to the terminal (10). The device of the invention makes it possible to make a rapid connection of the conductors on each screw or elastic electrical terminal (10) of the electrical apparatus.