"I intend to defend my integrity and my image as an athlete but also the values I have defended all my career," the Spaniard, 29, said in a statement.
Last month, former Minister for Health and Sport Bachelot said Nadal's seven-month absence in 2012 was "probably due to a positive doping test".
He says he had tendinitis and a virus.
"I wish to avoid any public figure from making insulting or false allegations against an athlete using the media, without any evidence," added 14-time Grand Slam winner Nadal.
He had already announced his intention to sue Bachelot, saying: "I am tired about these things. I let it go a few times in the past. Not any more."