As cloud computing evolves, enterprises increasingly adopt hybrid and multi-cloud strategies to leverage the best features of various platforms. These environments, while offering flexibility and scalability, introduce significant management complexities, such as security, compliance, cost optimization, and integration. This study explores the major challenges of managing hybrid and multi-cloud infrastructures and presents effective solutions and frameworks for efficient governance. By analyzing existing literature, case studies, and industry practices, the research identifies critical factors that contribute to success or failure in hybrid and multi-cloud adoption.