Various methods and devices for ligament replacement in the human body, and in particular, the spine are provided. In an exemplary embodiment, a ligament replacement system is provided that has an artificial ligament configured in the form of a closed loop. The artificial ligament is adapted to be coupled between the ligament seating regions of first and second connection members in a connection geometry that results in the artificial ligament having a large motion with a non-linear relationship between the force and displacement, similar to that of a natural ligament.