Among the most of present anonymous authentication schemes, anonymous authentication process is complex, and the anonymous controllability is optional. To solve these two problems, a new threshold anonymous authentication scheme based on the intractability of the discrete logarithm is presented. With the help of the theory of solving linear equations, the member can get a share and the public key etc. Based on the idea of threshold secret sharing, the prover can be anonymous authenticated and anonymous tracked. The prover of the scheme is anonymous, threshold traceable, and inimitable, which can make the scheme well satisfy the security of anonymous authentication. The scheme will have broad application pros-pects in many fields such as electronic commerce, mobile communication.