Methods and systems for providing space tethers for limiting the dynamic response of structures are disclosed. In one embodiment, a method for limiting the dynamic response of a structure having a base member and a substructure projecting outwardly from the base member includes coupling a first end of an elongated flexible tether to the substructure at a first location spaced apart from the base member; and coupling a second end of the elongated flexible tether to the base member at a second location spaced apart from the substructure, the tether being configured to be in a non-taut configuration when the substructure moves within a design volume with respect to the base member, the tether being further configured to be in a taut position when the substructure displaces to a limit of the design volume.