Abstract: Traceable attribute-based signature (TABS) inherits the merits of attribute-based signature, can trace the real identity of the signer through a trusted third party, avoiding the abuse of anonymity of attribute-based signature. At present, there are very few signature-policy attribute-based signature (SP-ABS) schemes that support traceability in one-to-many authentication scenario, and most of the existing schemes suffer from efficiency and security deficiencies, for example, the computational complexity of the verification phase is linearly related to the number of attributes, which is inefficient. Meanwhile, the fact that the policy is provided directly by the verifier to the signer can easily lead to policy privacy leakage. To solve the above problems, a traceable attribute-based signature scheme supporting policy hiding based on SM9 is proposed in this paper, which uses a linear secret sharing scheme (LSSS) with attribute name and attribute value splitting to construct the access structure, supports partial hiding of the policies, and can protect the policy privacy of the verifier while protecting the signer's identity privacy and attribute privacy. In the verification phase, the scheme requires only constant order bilinear pairing operations and exponential operations, which can achieve efficient fine-grained access control. Finally, the scheme is proved to be unforgeable under the random oracle model by the q-strong Diffie-Hellman (q-SDH) hard problem.