A safe and effective COVID-19 vaccine is our only hope to decisively stop the spread of the SARS-CoV-2. But a vaccine will only be fully effective if a significant share of the population agrees to get it. Five consecutive surveys of a large, nationally representative sample (N = 1000 for each wave) surveyed attitudes towards a future COVID-19 vaccine in France from May 2020 to October 2020. We found that COVID-19 vaccine refusal has steadily increased, reaching an all-time high with only 23% of participants willing to probably or certainly take a future COVID-19 vaccine in September 2020. Vaccine hesitant individuals are more likely to be women, young, less educated, to vote at the political extremes, to be dissatisfied with the government’s response to the COVID-19 crisis, and to feel less at risk of COVID-19. The reasons why French people would refuse to take the COVID-19 vaccine are similar to those offered for other vaccines, and these reasons are strikingly stable across gender, age and educational level. Finally, most French people declare they would not take the vaccine as soon as possible but would instead rather wait or not take it at all.