In the article different ways of the national legislation on international commercial arbitration reform are considered. In the light of the development of alternative dispute resolutions procedures trend the author points out the need to update the national procedural laws, eliminate inconsistencies between Civil and Economic Procedure Codes of Ukraine with the aim of improvement of the mechanisms for national courts supporting the arbitration. At the same time, the issues of jurisdiction and instantiation of the dispute resolutions regarding the support of arbitration by national courts is analyzed. The author also analyzes the problems that occur in connection with imperative enforcement of the interim measures issued by arbitrators.