A system for stabilization of at least a portion of a spinal column. The system comprises at least one elongate support member extending along an axis and positionable along the spinal column and at least one anchor member being engageable to a vertebra of the spinal column for attaching the elongate support member to the spinal column. The anchor member comprises a passage configured to receive said support member, allowing substantially unconstrained movement of said elongate support member relative to said anchor member in axial direction parallel to said axis of the elongate support member. At least two elongate support members are attachable to the spinal column by means of said anchor member. The anchor member defines two passages, each configured to receive one of said at least two elongate support members, allowing substantially unconstrained movement of said elongate support members relative to said anchor member.