A new kind of group-oriented signature is presented with a new signature model in this paper. The signature has the following properties: it is based on ID cryptography concept; does not have the function of key escrow, that is, no one, other than the member himself, knows the secret key, even the PKG does not know; the member in the designated group can verify the signature independently. The secret sharing is not used in the signature, so the cooperation among the members is not needed. Comparing to other group-oriented signature, the new one uses less system resources, and improves the system efficiency.