Current knowledge and theories about the geology of fluorspar are summarized, and the many industrial uses of this important mineral commodity are discussed in this report. New geological data on several fluorspar districts and specific deposits in New Mexico, the results of recent detailed studies of several areas by graduate students at University of Texas at El Paso and University of Western Ontario, and by the writer, are also presented. Exploration, new fluorspar discoveries, and mining performed in New Mexico since 1966 are included. The tonnage and grade of identified reserves in the United States are inadequate to supply the domestic demand, and more than 80 percent of the fluorspar consumed in the United States is imported. Southwestern New Mexico is a fluorine-rich province in which more than 200 fluorspar deposits have been discovered in districts scattered over 13 counties. Systematic exploration in several districts could discover large low-grade resources, particularly fluorspar-bearing jasperoid deposits. In the not too distant future, deposits in New Mexico may become significant sources of fluorspar.