Ring signature is an anonymous signature which allows a user to anonymously sign on behalf of a group. In some cases, we only hope that our signatures were anonymously verified by the designated users, such as hospital records. In this works, by combining ring signature and designated verifier signature scheme, a ring signature scheme with Multi-designated verifiers are proposed to satisfy the multi-user setting. And by analyzing the security of scheme, we show that the proposed scheme is secure in a novel assumption: the Chosen-Target-Inverse-CDH problem under the random oracle model, and the corresponding security proof is given.