From a liberal viewpoint, voluntary trade appears to be something that should meet universal approval. If no one is obliged to trade, establishing a market institution could only make all better off. Nonetheless, specific market institutions meet substantial skepticism and criticism. This paper extends the extant literature by surveying the moral opposition towards trade in multiple dimensions and linking this to policy support measures. We provide survey results on moral opposition to trade in organs, sex services, surrogate mothers, trade in carbon permits, goods produced in poor countries, and food from countries where people suffer from hunger. These cover the potential reasons for opposing trade institutions: moral concerns, paternalism regarding risk-taking, and distributional concerns. Beyond this, we measure support for policies on unemployment benefits, risk prevention, equality goals within society, and redistribution. The survey of Amazon Mechanical Turk workers from the U.S. reveals significant moral opposition to trade in diverse dimensions. About a third of the participants strongly oppose trade in body items, sex services, and food imports from countries where a large proportion of the population suffers from hunger and malnutrition. Fewer participants strongly oppose trading CO2 permits, importing from developing countries, or allowing surrogate mothership. Besides other correlates (e.g., gender, education, being conservative), individuals’ attitudes towards imposing risks on others are identified as an important correlate of the opposition to trade for all the contexts of trade: those who are averse to exposing others to risk for their own advantage are more likely to oppose trading institutions. This measure of social preferences also relates to support for policies on risk prevention, equality goals within society, and redistribution. We discuss potential mechanisms behind this explanatory power of the newly identified measure.