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Since the small-world effect and the scale-free characteristic discovery, the research of complex network obtained rapidly development in the past several years, the complex networks' anti-frangibility is one of research focal points. This article analysised the scale-free networks' frangibility, and obtained that the scale-free networks' frangibility is mainly caused by combining attack to the hubs. From the two aspects of minimum degree and hubs, through setting maximum degree and minimum degree to control the hubs and the stochastic production connections separately, established the scale-free networks' anti-frangibity model based on this. The simulation experiment indicated that through setting the minimum degree and controlling to hubs, can strengthen the scale-free networks' anti-rangibility ability.