Mr Castex said: “The vaccination pass will come into effect next Monday. This wave is not over, but things are evolving positively.”
On Tuesday, France reported a record number of daily cases, registering nearly half a million new infections.
Until now, a negative Covid test was sufficient for people in France to enter cafes, restaurants and other hospitality businesses.
However, from next week a double vaccination and booster jab will become essential to obtain the necessary passport.