In a statement, the Association pour la Protection des Animaux Sauvages (APAS) says that in the hunting season just gone 21 people were killed, with all but two being hunters themselves.
In total there were 179 accidents in the last hunting period, compared to 143 for the season before, and the APAS says change is necessary.
The organisation is calling for a ban of hunting on Sundays, as it believes with more people taking up cycling, walking and outdoor past-times, France needs to change.
APAS says that France is the only country in Europe where hunting is allowed on every day of the week.
And APAS says that the law should be changed to make local hunting bodies more responsible for accidents, firmer regulation should be introduced to ban hunting close to buildings and that hunters should be required to take regular eye tests.