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In 2009, Han et al. proposed an efficient threshold self-healing key distribution scheme with sponsorization for infrastructureless wireless networks. They claimed that the key distribution scheme satisfies the forward security, i.e., any internal user who has been revoked can not generate a new session key. In this paper,an attack method against this key distribution scheme's forward security was presented. Furthermore, this attack method can also be applied to this scheme's backward security.Thus,the original threshold self-healing key distribution scheme is insecure.