The company said in a tweet: "The French government has announced a range of restrictions, aimed at preventing the spread of Covid-19. As a result of these measures, we will not be flying any customers to Lyon, Grenoble, Paris and Nice with immediate effect.
"We will be flying customers back to the UK from Lyon and Grenoble via our programme of scheduled flights on Saturday 21st March. Thereafter, we have cancelled all flights to Lyon and Grenoble for the rest of the winter.
"We will be flying customers back to the UK from Paris via our programme of scheduled flights on Sunday 15th and Monday 16th March. Thereafter, we have suspended all flights to Paris until 26th April and we are keeping this situation under review."
Jet2's statement continued: "We will be flying customers back to the UK from Nice via our programme of scheduled flights on Monday 16th March. Thereafter, we have suspended all flights to Nice until 4th May and we are keeping this situation under review.
"We are contacting our customers who are currently in Lyon, Grenoble, Paris and Nice who are due to travel, to advise them of their options.
"We urge customers not to call us as we will be in touch.
"This is a fast-moving and complex situation, and we would like to thank our customers for their understanding. The health and safety of our customers is always our number one priority."
A man in his late-fifties with underlying health conditions, who was being treated at the Bristol Royal Infirmary and had tested positive for Covid-19, has died.
In a statement, University Hospitals Bristol NHS Foundation Trust said: "Sadly, we can confirm that a man who was being cared for at the Bristol Royal Infirmary, and had tested positive for Covid-19, has died.
"The patient who died was in his late-fifties and had underlying health conditions.
"The family has been informed and our thoughts are with them at this difficult time. We will not be commenting further and ask that everybody respects the family's privacy."