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Digital works are considered as research focus in most existing digital copyright protection schemes. But the customers not the digital works have active aggressiveness. That is to say the customers are the fundamental reason of copyright protection problem. So customers should be monitored moreover. The existing identity authentication could verify the legitimacy of customers. But it can not distinguish the legitimacy of customer operations. In this paper, we propose an effective behavior authentication scheme for customers based on fragile watermark and multiple robust zero watermark technology. After using a digital work, the scheme can decide whether the digital work is used beyond the usage authority and determine the customer who exceeded authority further. It is known that the scheme could be applied in most situations by validity analysis. The experiment results also show that the scheme is executed efficiently and correctly.