The present invention provides a wire for a press-connecting terminal which has a high flexibility, and achieves a high reliability for a connection portion at the time of press-connection, and also provides a method of producing a conductor of such a wire. The wire provides a stranded conductor and an insulator covering the conductor. Wire elements of the stranded conductor are concentrically twisted in layers in the same direction at the same pitch, and the stranded conductor is compressed into a circular cross-section in such a manner that a space factor of the cross-section of the conductor is not less than 99%. The present invention also provides a multi-layer compressed concentric stranded conductor which enables a uniform compression of a base stranded wire. Not more than 61 wire elements of the same diameter are twisted together in such a manner that the number of the wire elements of a Nth layer except for the central wire element is 6N and that a line, interconnecting the centers of the wire elements of each of those layers including a second layer and any other layer outside of the second layer counting from the central wire element, has a dodecagonal shape, and subsequently the thus twisted wire elements are compressed into a circular cross-sectional shape.