The recently developed Hierarchic Cable Roofs open the opportunities to cover extremely large areas comparing with ordinary structures due to effective use of structural materials with much higher specific strength in combinations with structural systems, where tensile stresses are dominant in their cross-sections, and these structures have a better correlation between the volume and roofed area. The overall material consumption is seriously dependent on structure of the primary repeatable unit which can be made as negative Gaussian bent cable net. The possibility of cable roofs covering with textile-reinforced woven fabric and multiaxially reinforced films based on liquid crystal polymer fibers with regularly oriented aromatic polyester molecules (LCP) was analysed. The main mechanical properties of cladding element based on LCP Vectra basket weave fabric which is covered by the PTFE was evaluated by the engineering approach. Based on two developed calculation models the stress and deformation state of cladding element was evaluated by applying vertical loading as most unfavourable. These models describe the extreme observations of real behavior of cladding, which can be in intermediate position: the first – without any shear stiffness, the second – with full membrane shear stiffness. By applicating of these models the rational steps of load bearing and stressing cables of main structure depending on the constructive conditions in the prevention of rain bags were found. Using the method of substructuring allows to estimate how the type of cladding affects the displacements and material consumption of the whole structures.