Despite 35 years of searching, the Higgs boson still eludes experimentalists. It is the final piece of the Standard Model of elementary particle interactions and its existence is intimately tied to our understanding of the origin of mass. In this talk, I will describe the unique role of the Higgs boson within the Standard Model. The current status of the direct and indirect Higgs boson searches will then be reviewed. The Higgs boson has undesirable "features" that strongly suggest the existence of new physics, of which Supersymmetry is a leading candidate. Searches for Supersymmetric and other non-minimal Higgs bosons will also be reviewed. The prospects for discovery and study of the Higgs boson at future accelerators will also be discussed.