The governing law in international commercial arbitration may be divided into governing arbitration law and governing substantive law. The former governs the parties' arbitration agreement and the conduct of any subsequent arbitration. But the later governs the parties' substantive rights and obligations, which means the law that governs contract formation and performance, and the law to be applied by the arbitrator to the merits of the dispute. The purpose of this paper is to examine how to determine the substantive governing law when there is express choice or implied choice between parties. Moreover this author checked any restrictions on party autonomy and also any possibilities to deviate from the governing law. In case of express choice the sources of the law or rules of law might be the national law of one of the parties, the neutral law, the general principles of law or lex mercatoria according to the arbitration law selected by the arbitral tribunal. Some arbitration laws or rules empower the arbitrator to decide the case ex aequo et bono or to act as amiable compositions. If the governing law could be determined expressly or impliedly by the parties, the arbitral tribunal would make a selection. In this case the criteria for selecting a governing law are not exactly same from country to country. But failing any indication by the parties as to governing law, the arbitral tribunal should apply the rules of law, the law or the law under the rule of conflict that the arbitrators consider applicable, according to the governing arbitration law. Among the connecting factors offered by the conflict rules, (which means the factors that the arbitrators consider applicable), some legal systems give precedence to the formation of the contract, other system to the place of performance of the contract, and others to the closest connection or centre of gravity. But the Rome Convention, which unified the conflict rules of the contracting states, gives precedence to the law of the domicile of the party which has to effect the performance which is characteristic of the contract. Finally this author suggested the Choice of Law Clause which covers governing substantive law and governing arbitration law at the same time. Thus the UNIDROIT Principles as well as any national law may be included as a governing law in international arbitration. So when we make sales or service contract, we should take into consideration of the UNIDROIT Principles as a governing law or a supplement to the governing law.