This paper analyzes the migration and asylum policy of the European Union (EU), with a focus on the development of the Common European Asylum System (CEAS), the impact of European directives, and the challenges faced by the EU in the context of migration crises. The first part of the paper covers the historical development of EU migration policy, including key migration crises that have shaped the legal and institutional framework. Particular attention is given to the role of the Lisbon Treaty, which expanded the EU's competencies in migration and asylum matters. The development of CEAS includes the harmonization of asylum access rules, the implementation of the Temporary Protection Directive, and the principle of non-refoulement, which is the cornerstone of international refugee protection. The paper also analyzes the institutional framework of EU migration policy, with a focus on the roles of the European Council, the European Commission, and the Court of Justice of the European Union in regulating and implementing migration policies. A special section of the paper is devoted to the European refugee/migration crisis, addressing its spatial and temporal dimensions, security aspects, and the crisis' impact on the formation of new migration policies. The paper also examines the Europeanization of Croatia's asylum system, emphasizing the alignment of Croatian legal frameworks with European standards. In conclusion, the paper addresses the challenges and criticisms of the EU's migration policy, including inequalities in asylum access and the tensions between humanitarian and security priorities. Finally, the paper discusses the future development of the EU's migration policy, focusing on CEAS reform and the sharing of responsibilities among member states in the face of global migration pressures.