An increasing number of countries recognize the special risks of nuclear terrorism associated with the civilian use and storage of and commerce in highly enriched uranium (HEU). They are especially concerned that non-state actors might gain access to HEU and use it to build and detonate improvised nuclear devices. The risk is aggravated by the very large global stocks of HEU, some of which are inadequately protected. Although HEU has few commercial uses, and most experts believe it is technically feasible to substitute low-enriched uranium for HEU in nearly all civilian applications, efforts to reduce HEU stocks have been impeded by a variety of economic, political, and strategic considerations. This article analyzes the nature of these impediments and discusses what is required to overcome them.