The rapid advances in multimedia capture, storage and communication technologies and capabilities have ushered an era of unprecedented growth of digital media content, in audio, visual, and synthetic forms, and both individually and commercially produced. How to manage these data to make them more accessible and searchable to users is a key challenge in current multimedia computing research. In this chapter, the authors discuss the problems and challenges in multimedia data management, and review the state of the art in data structures and algorithms for multimedia indexing, media feature space management and organization, and applications of these techniques in multimedia data management.