The threshold signature schemes with better security cannot only detect any member’s cheat behavior, provide anonymity and traceability simultaneously, but also resist conspiracy attack and every forgery attack. Through analysis for cryptography and algorithm design, it is discussed firstly of a method of the implementation of anonymity and traceability of threshold signature, then a partial signature verifiable (t, n) threshold signature scheme is proposed with anonymity and traceability simultaneously, resisting conspiracy attack and other forgery attacks. Based on the discrete logarithm difficulty and inverse bilinear pairing operation difficulty, certify has been given on security of the scheme in detail.