In an attribute-based signature (ABS) scheme, the signer’s identity keeps anonymous. To prevent the signer from abusing this property, Escala, Herranz, and Morillo proposed an identity traceable attribute-based signature scheme (EHM-ABS). Their scheme used an automorphic signature, and applied the non-interactive witness indistinguishable (NIWI) proofs many times. Inspired by Boyen, and Waters’ identity-based compact group signature scheme, the study presents an identity traceable ABS scheme in the standard model. When issuing the attribute private key, the signer’s identity is embedded. By using the NIWI proof of encrypting each bit of identity, this scheme achieves the traceability. To compare with EHM-ABS, this scheme reduces the number of applying the NIWI proofs when the order of the claimed attributes set is bigger than the quarter of the bit length of identity, and do not need to use automorphic signature. The security of this proposed scheme is based on the subgroup dicision and the computational diffie-Hellman assumptions.