That's not correct - the French do issue points (just like we do, except they're more severe)
Here's the rules (taken from
http://english.controleradar.org/speeding-fines.php)
Speeding by less than 20 km/h (12 mph)
* Fine (0) : 68 euros
* License points loss : 1 point
* License suspension : none
if however the speed limit is lower than 50 km/h (31 mph)
* Fine (1) : 135 euros
* License points loss : 1 point
* License suspension : none
Speeding between 20 km/h and 30 km/h (12 mph to 19 mph)
* Fine (1) : 135 euros
* License points loss: 2 points
* License suspension (2) : none
Speeding between 30 km/h and 40 km/h (19 mph to 25 mph)
* Fine (1) : 135 euros
* License points loss: 3 points
* License suspension (2) : 3 years
Speeding between 40 km/h and 50 km/h (25 mph to 31 mph)
* Fine (1) : 135 euros
* License points loss: 4 points
* License suspension (2) : 3 years
Speeding by more than 50 km/h (31 mph)
* Fine (2) : 1500 euros
* License points loss: 6 points
* License suspension (2) : 3 years
Second offence speeding by more than 50 km/h (31 mph)
* Jail (2) : 3 months
* Fine (2) : 3750 euros
* License points loss: 6 points
* License suspension (2) : 3 years
(0) The fine is 68 euros, however if paid in less than 15 days it is 45 euros, and if paid in more than 45 days it is 180 euros. The maximum possible being 450 euros (if it goes into trial).
(1) The fine is 135 euros, however if paid in less than 15 days it is 90 euros, and if paid in more than 45 days it is 375 euros. The maximum possible being 750 euros (if it goes into trial).
(2) maximum.