A device for unfurling and refurling a flexible structure comprising at least one tape spring having an axis of unfurling and of refurling parallel to an axis X and a rotor capable of rotating about an axis Y perpendicular to the axis X, the tape spring being able, autonomously, to pass from a state in which it is wound around the rotor to an unwound state, the tape spring being mounted bent in two in a shape of a U with two branches, wherein the tape spring comprises a first end of a first branch fixed rigidly to a first anchor point and a second end of a second branch fixed rigidly to a second anchor point secured to the rotor, the first end of the first branch of the tape spring being mounted between two jaws of the first anchor point.