In spite of an increasing interest in the analysis of Renaissance music by contemporary theorists, few analyses of lute music exist. It is hoped that this thesis will serve to open a new area of analysis to scholars of Renaissance music. Chapter I deals with the background information necessary for the analysis, including Dowland's biography, lute history, technique, and notation, and the practice of modality on the lute. An overview of Dowland's music, especially the solo lute music, ends the chapter. Chapter II traces the form and development of the fantasia and surveys Dowland's seven fantasias. In Chapters III-V, the works are divided according to mode and analyzed in terms of counterpoint, dissonance, motivic development and modality. Chapter VI provides concluding remarks.