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The threshold signature as an important branch of digital signature has grown to become one of the most popular and prolific field of study. This paper introduced an identity-based (k, t, n) threshold group signature scheme that uses bilinear pairings and secret sharing. In this scheme, at least t or more than t signers could cooperatively generate an effective group signature, and among them there must be k-specific members to participate in signatures. Therefore, it can meet various special requirements of keys distribution. By analyzing the scheme, conclude that the scheme has many security properties, such as validity, anonymity and unforgeability etc.