In the need to assess anti-COVID-19 policies in terms of public acceptability, we report the key results of a Discrete Choice Experiment based on a representative sample of the French population. Preference-ranking analysis is performed for the whole population and by subgroups. Results show that wearing masks, transport limitations, and digital-tracking are well accepted. However, restaurant closures and excessive leisure travel restrictions are not. The acceptability depends on personal characteristics: political orientation, health vulnerability, or age. The young population differs from others, in terms of policies preferences and in their claim for monetary compensation, suggesting a tailored policy for them.