Aesthetic value is included in virtually all accounts of the values of biodiversity, but this value is still incompletely understood. Here I offer an account of the aesthetics of biodiversity based on the understanding of aesthetics developed by Immanuel Kant. The claim of this analysis is that (to use Kant’s terminology) while individual organisms may be considered beautiful, biodiversity as a whole is sublime. This distinction poses challenges and opportunities for those who manage lands for biodiversity value. Comparison to managing art museums and wine cellars and a new vision for the role of systematics and taxonomy offer some insight into the management of the sublime aspects of biodiversity.