In this paper we propose a new scheme to extract skeleton of Ribbon-like shape with a novel wavelet function. It consists of two phases, namely: based on these perfect properties of new wavelet function, and symmetry analyses of maxima modaii of wavelet transform are given. Midpoints of all pairs of contour elements are connected to generate a skeleton of the Shape, which is defined as wavelet skeleton. Four basic criteria for modifying the artifacts of wavelet skeleton are presented. A corresponding algorithm is developed, and the experimental results are shown that this algorithm is capable of extracting exactly skeleton of Ribbon-like shape with different widths as well as different grey-levels.