Multi-contact connector for a flat conductor cable comprises a housing having a cable receiving face and a trough-like cable receiving opening extending into the cable receiving face. A plurality of contact terminals are mounted in the opening in side-by-side relationship. Each terminal has a spring contact portion which engages one of the conductors of the cable when the cable is inserted. The contact portions are arranged in three rows, the first row comprising the contact portion of every third terminal and which is adjacent to the cable receiving face. The second row and the third row are also formed from every third terminal and the contact portions in these rows are located at increasing distances from the cable receiving face. When the cable is inserted, its leading edge encounters the contact portions of the terminals in the first row and upon further movement into the opening, encounters the contact portions of the terminals in the second and third rows. This arrangement facilitates insertion of the flexible cable into the opening and reduces the tendency of the cable to buckle.