Lack of online trusted dealer and group membership dynamics make the membership control become a challenging task in wireless ad hoc network. Based on the threshold cryptography (and verifiable secret sharing), we propose a secure membership control scheme using a new threshold signature based on the RSA variant. Compared with other proposed solutions based on RSA, the scheme does not need the operation of t-bounded coalition offsetting; moreover, it provides verifiable GMC issuance and share acquisition, which is only achieved in threshold DSA before.