Abstract:The No-Fit Polygon (NFP) can be used for handling of stock packing and cutting problems with two-dimensional non-regular shape. Previously, NFP has not been widely applied because it is difficult to be implemented and is lack of generic approaches that can cope with all problem cases without specific case-by-case handling. This paper introduces an orbital method. The method can handle the typical degenerate cases, such as holes, interlocking concavities. And we make benchmark for ESICUP datasets which from the literature, proving that this approach can be efficient with almost every situation. It has certain reference significance for the research of the packing and cutting problem.