One of techniques to put tensile stress into membrane panels of permanent membrane structures is putting tensile stress into the panel indirectly by tensing the cable after setting cable on the panel. In this case, the cable slide on the panel while external load is acting. Therefore it is important to develop analytical methods that make it possible to consider slide between cable and membrane panel. In this paper, a new analytical method, using new folding element formulated based on equivalent side tension of triangular element introduced by Tsubota et al, is proposed. In the analysis, a membrane-cable complex structure is considered as a cable net structure. As a result of applying proposed method to analysis of a sliding test and a real membrane roof structure, accuracy and applicability of this method was confirmed.