Mechanics of a local buckling, which is induced by wrapping fold of a creased membrane, is discussed experimentally, theoretically, and numerically in this paper to examine the condition for the local buckling. The theoretical analysis is performed by introducing one-dimensional wrapping fold model, and the dominant parameters of the condition for the local buckling are obtained, which are expressed by the tensile force, the membrane thickness, and the radius of the center hub. The experimental results indicate that the interval of the local buckling is proportional to the diameter of the center hub, and the results are qualitatively agreement with the FEM results.