Spaceframe (truss) systems of regular structure, the most typical representatives of which are lattice-type structures, occupy a special position among the wide variety of structures used in various areas of engineering and industrial and civil construction. Examples of regular spaceframes are airframes and the framing of industrial buildings, bridge structures, hoist and conveyor mechanisms, various types of antenna installations, and other structures. One promising application for structures of this type is the development of large trussed structures for use in space that can be placed in orbit preassembled or can be assembled from standard fragments directly in space and equipped with adaptive actuating elements to eliminate undesirable deformations of the entire structure or parts of it. Although there is already an extensive literature, the number of scientific publications devoted to deformation analysis of spaceframes continues to grow. This is evident, for example, in the proceedings of the international conferences, symposia, and seminars that are held regularly by the International Association of Shell and Spatial Structures (IASS), American Institute of Aeronautics and Astronautics (AIAA), the American Societies of Civil Engineers (ASCE) and Mechanical Engineers (ASME), and other authoritative organizations [71,94]. The object of the present paper is to review methods for deformation analysis of regular elastic spaceframes from the standpoint of structural modeling and methods for mathematical description of their mechanical behavior.