Theoretically, the scope of judicial supervision on arbitration shall be limited to procedural matters and public order. Violation of the public order will lead to cancellation of the arbitral awards. Re-arbitration is one form of judicial supervision. Therefore, the applicable circumstances of re-arbitration shall be limited to procedural matters. Under UNCITRAL Model Law, English Arbitration Act and Arbitration Act of the United Sates, the applicable circumstances of re-arbitration are also mainly limited to procedural matters. Under Chinese law, for domestic arbitration cases, the applicable circumstances of re-arbitration are only limited to two matters related to evidence, which doesn’t conform to the finality of arbitration award. The ideal solution shall make the applicable circumstances of re-arbitration be limited to procedural matters for both domestic cases and foreign cases.