Most climate change mitigation scenarios rely on negative emissions technologies like bioenergy with carbon capture and storage (BECCS). However, little is known about public support for BECCS. This paper gauges Danes’ willingness to pay (WTP) for biomass with carbon capture and storage and examines factors influencing it. Denmark is a suitable case study given its reliance on biomass and negative emissions to achieve climate targets. Results from a questionnaire-based survey indicate a mean WTP of 3072 DKK (412 EUR) per household per year. This correspondents to a 12% increase in heat and electricity expenses. The need for negative emissions is the main stated reason for WTP. This may be interpreted as reflecting either support for, or reluctant acceptance of, BECCS. Results show that being younger, being concerned about climate change and believing that it is mainly caused by human activity, and believing in the mitigation potential of biomass and that sustainability is a precondition of its use have a significant effect on WTP. Public views on BECCS are complex but must be acknowledged if discussion of the role of BECCS in the decarbonisation agenda is to move forward.