A spine stabilization system for flexibly stabilizing a first vertebra with respect to a second vertebra, the system comprising: - an elongate connection element extending from a first end portion to a second end portion along a longitudinal axis, the first and second end portions interconnected by a flexible coupling member, - the elongate connection element comprising a first attachment portion (58, 74), a second attachment portion (62, 76), a first resilient member positioned between the first end portion and the first attachment portion (58, 74), and a second resilient member positioned between the first attachment portion (58, 74) and the second attachment portion (62, 76), - wherein the elongate connection element permits motion of the first attachment portion relative to the second attachment portion, - wherein the first (58, 74) and second (62, 76) attachment portions compress the second resilient member when the first (58, 74) and second (62, 76) attachment portions move towards each other, - wherein the first end and first attachment portions (58, 74) compress the first resilient member when the first (58, 74) and second (62, 76) attachment portions extend away from each other, - a first fixation member connecting the first attachment portion to the first vertebra; and - a second fixation member connecting the second attachment portion to the second vertebra, - wherein a part of the first (58, 74) and second (62, 76) attachment portions extend towards each other on opposing walls of the elongate connection element, - the second attachment portion comprising a spool having a middle portion interposed between outer end plates, - wherein the middle portion comprises an upper clamp body moveable with respect to a lower clamp body to clamp down and affix cord with respect to the spool. - an elongate connection element extending from a first end portion to a second end portion along a longitudinal axis, the first and second end portions interconnected by a flexible coupling member, - the elongate connection element comprising a first attachment portion (58, 74), a second attachment portion (62, 76), a first resilient member positioned between the first end portion and the first attachment portion (58, 74), and a second resilient member positioned between the first attachment portion (58, 74) and the second attachment portion (62, 76), - wherein the elongate connection element permits motion of the first attachment portion relative to the second attachment portion, - wherein the first (58, 74) and second (62, 76) attachment portions compress the second resilient member when the first (58, 74) and second (62, 76) attachment portions move towards each other, - wherein the first end and first attachment portions (58, 74) compress the first resilient member when the first (58, 74) and second (62, 76) attachment portions extend away from each other, - a first fixation member connecting the first attachment portion to the first vertebra; and - a second fixation member connecting the second attachment portion to the second vertebra, - wherein a part of the first (58, 74) and second (62, 76) attachment portions extend towards each other on opposing walls of the elongate connection element, - the second attachment portion comprising a spool having a middle portion interposed between outer end plates, - wherein the middle portion comprises an upper clamp body moveable with respect to a lower clamp body to clamp down and affix cord with respect to the spool.