We conduct an empirical analysis of data relating measures of economic and political freedom to the occurrence of transnational terrorism 1996-2002. We use binary logistical regression models to predict the probablities that a country will experience transnational terrorist attacks and that a given terrorist originates in a particular country. We find that the extent of political rights and civil liberties is negatively related with the generation of transnational terrorists from a country, but where the former is also negatively related with the occurrence of transnational terrorism in a country, the latter exhibits a non-linear relationship. A number of alternative explanations are disconfirmed: transnational terrorism is unrelated to inequality, economic growth, education, poverty, etc., while a society's fractionalization has mixed importance, and the religious composition has no or little association with attracting or producing transnational terrorism. A more trade-oriented economy seems consistently to associate with smaller probabilities of a country experiencing and generating transnational terrorism.