An electrical connector forms electrical contact by tightening of a movable, electrically-conductive spiral around un-insulated wire or wires. The spiral coils around the wire multiple times and tightens on the wire(s) when either one or the other end, or both ends, of the spiral is/are rotated relative to the other. One region of the spiral is preferably fixed to an insulating housing, while another region of the spiral may be rotated for the tightening on the wire and then preferably latched to the housing so that/the spiral remains in the tightened condition. A terminal end may extend from the spiral, or connectors without a terminal end may be used to electrically connect wires to each other that extend from and to other equipment not located on the connector itself. Multiple spirals may be provided in one connector, including spirals that tighten around separate wires at opposite ends of the connector. The connectors may be tightened quickly by hand, without tools, as one hand may grasp the housing or a housing portion, while the terminal end or another housing portion fixed to an end of the spiral (and consequently the spiral coils along with it) is twisted by the other hand.