Rising concern with drug use in the United States has led to increased emphasis on the interdiction of drugs before they reach the country. The military services are now being asked to assume a substantial share of the burden of this interdiction. This report analyzes the consequences of greater stringency in drug interdiction efforts, focusing particularly on how such increased stringency might influence the consumption of cocaine and marijuana. The analysis strongly suggests that a major increase in interdiction activities, even including the military, is likely to significantly reduce drug consumption in the United States.