ANSM's undated study estimated that the contraceptive pills are tied to blood clots, and 1,751 accidents as well as 14 of 20 deaths were caused by the third and fourth generation pills.
The other six deaths were blamed on first and second generation pills.
The deaths of the pills users are related to an occurrence of pilmonary embolism, the most serious form of thromboembolic, the survey indicated.
"The risk of venous thromboembolism applies to the population as a whole, but the risk is low," the health agency said.
France is a country where the use of contraceptive pills is among the highest in the world, as up to 60 percent of women users. In 2011, nearly 4.27 millions of women used the pills.
However, after the health ministry decided to regulate more strictly the prescriptions of these pills, the sales of the third and fourth generation of pills fell sharply to 34 percent in February 2013 compared to that in February 2012, while the use of the second generation was up 26.5 percent.