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The focus of this paper is to propose an efficient and secure solution dealing with the key escrow problem in ID-based signature schemes, i.e., the Key Generation Manager (KGM) knows the user's private key. In this paper, we describe a new identity-based threshold signature scheme. Partial signatures can be expediently generated by player under the discrete logarithm problem. Any public verifier can check the validity of partial signatures and the threshold signature by verification equations. Through the analysis of security and efficiency of the scheme, we show that our scheme is both unforgeable and (t, n)-robust, and it is more efficient compared with the previous schemes.