Since Leave supporters score higher on conscientiousness but lower on neuroticism and openness, and given their general proclivity toward conservatism, we hypothesized that preference for realistic art would predict support for Brexit. Data on a large nationally representative sample of the British population were obtained, and preference for realistic art was measured using a four‐item binary choice test. Controlling for a range of personal characteristics, we found that respondents who preferred all four realistic paintings were 15–20 percentage points more likely to support Leave than those who preferred zero or one realistic paintings.