The Nurse was flown back to France on 19 September and received experimental medicines in a military hospital.
The nurse was treating patients in Liberia with volunteer group Médecins Sans Frontières, known in English as Doctors Without Borders, when she started to exhibit symptoms several days before being flown back to France.
The woman, who has not been identified, was the fist French person to be infected with the virus, which causes severe hemorrhagic fever and has a high fatality rate.
She was treated in a specially equipped hospital in the Paris suburb of Saint-Mandé.
France's health ministry said maximum precautions were taken to prevent any contagion.
Touraine had authorised the use of three experimental drugs in France to try and treat Ebola.
The French nurse had been given Agivan, which was approved in Japan in March, according to the company.
The drug is produced by Japanese firm Toyama Chemical, a subsidary of FujiFilm holdings.
Ebola has claimed the lives of more than 3,300 people in West Africa in the largest-ever outbreak of the disease.