The United States currently relies on a voluntary, altruistic system for supplying organs for transplantation. It is now generally recognized that this system, as currently operated, produces a seriously inadequate supply of organs. A number of scholars have argued that some type of (generally unspecified) market system is necessary. Two articles appearing in the Journal of Health Politics, Policy and Law have proposed relatively specific market systems for increasing the supply of organs. In this paper we argue that market systems are at best premature. In particular, there is little to suggest that any type of market system for organs will be permitted in the United States in the foreseeable future. We present data that strongly suggest that the current voluntary, altruistic system has not been developed to its full potential and offer a number of specific suggestions for improving the system.