This report delves into the complexities of international dispute resolution, examining various methods employed to resolve conflicts between nations and entities. It begins by defining international dispute resolution and its significance, highlighting the differences in legal processes across countries. The report then explores the sources of international law, including treaties, customs, general principles, and judicial decisions, as outlined in the Statute of the International Court of Justice. It discusses the United Nations Charter's role in peaceful dispute settlement, emphasizing methods such as negotiation, good offices, mediation, conciliation, and inquiry. Furthermore, the report analyzes adjudicative methods, including arbitration and judicial settlement, highlighting their binding nature and application. A case study involving Xanadu and Yamba is presented, recommending arbitration as the most suitable dispute resolution method. The report concludes by summarizing the various dispute resolution mechanisms and recommending peaceful means as the primary approach, followed by arbitration if necessary.