How governments raise tax revenue is at the core of domestic political conflict. Public opinion towards taxation is measured generally and qualitatively by many surveys, but previous research has not closely linked public preferences to the budget problem faced by governments regarding how best to raise or cut a marginal quantity of revenue. We present results from a novel tax preference experiment in which UK respondents are given choices over different tax ‘levers’ that are expected to raise or cut equal revenue. We find that while different tax levers vary substantially in their popularity, there is a ‘hidden consensus’ regarding different tax levers across income levels and partisanship of the respondents.